Explanation:

Let's break down the analogy:

- The first pair is 68 : 321

- Let's look for the pattern.

- 68 × 5 - 19 = 340 - 19 = 321

- Check if this pattern works for the second pair:

- 525 × 5 - 19 = 2625 - 19 = 2606 (This doesn't fit)

Try another possible pattern.

- Reverse the digits of 68 to get 86, but 86 ? 321

- Try summing digits: 6 + 8 = 14; doesn't match

- Cube of 6 + 8: 216 + 512 = 728; doesn't match

- Let's try: 68 × 5 - 19 (already tried)

Consider multiplying both digits:

- 6 × 8 = 48; no match

Try adding a simple transformation:

- 68 × 5 - 19 = 321

- Let's test same on 525

- 525 × 5 - 19 = 2625 - 19 = 2606

Try another transformation

- 68 × (some number) = 321

- 321 ÷ 68 ˜ 4.72 (not round)

Try reversing the number, then adding/subtracting:

No clear pattern.

Test all options for 525:

- Option 1: 852

- Option 2: 681

- Option 3: 778

- Option 4: 792

Try to find if there's a relation in the increase:

- 321 - 68 = 253

- 852 - 525 = 327

- 681 - 525 = 156

- 778 - 525 = 253

- 792 - 525 = 267

Notice, 321 - 68 = 253 and 778 - 525 = 253!

So, the correct answer is:

- Option 3: 778

Summary:

- The relation is the second number is 253 more than the first (68 + 253 = 321)

- So, 525 + 253 = 778

- Among the given options, only Option 3: 778 fits.