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Finding the Third Proportional to 261,758.25 and 415,156.13

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Solution

The third proportional to 261,758.25 and 415,156.13 is: 658,449.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,758.25 : 415,156.13 = 415,156.13 : x
  2. Step 2: Convert to fraction form
    261,758.25/415,156.13 = 415,156.13/x
  3. Step 3: Cross multiply
    261,758.25x = 415,156.13 × 415,156.13
  4. Step 4: Simplify right side
    261,758.25x = 172,354,608,125.02
  5. Step 5: Solve for x
    x = 172,354,608,125.02/261,758.25
  6. Step 6: Final answer
    x = 658,449.57

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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.