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Finding the Third Proportional to 261,702.75 and 415,081.13

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Solution

The third proportional to 261,702.75 and 415,081.13 is: 658,351.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,702.75 : 415,081.13 = 415,081.13 : x
  2. Step 2: Convert to fraction form
    261,702.75/415,081.13 = 415,081.13/x
  3. Step 3: Cross multiply
    261,702.75x = 415,081.13 × 415,081.13
  4. Step 4: Simplify right side
    261,702.75x = 172,292,340,331.27
  5. Step 5: Solve for x
    x = 172,292,340,331.27/261,702.75
  6. Step 6: Final answer
    x = 658,351.28

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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.