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Finding the Third Proportional to 261,755.25 and 415,151.63

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Solution

The third proportional to 261,755.25 and 415,151.63 is: 658,442.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,755.25 : 415,151.63 = 415,151.63 : x
  2. Step 2: Convert to fraction form
    261,755.25/415,151.63 = 415,151.63/x
  3. Step 3: Cross multiply
    261,755.25x = 415,151.63 × 415,151.63
  4. Step 4: Simplify right side
    261,755.25x = 172,350,871,740.14
  5. Step 5: Solve for x
    x = 172,350,871,740.14/261,755.25
  6. Step 6: Final answer
    x = 658,442.85

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.