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Finding the Third Proportional to 217,531 and 306,337.50

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Solution

The third proportional to 217,531 and 306,337.50 is: 431,399.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,531 : 306,337.50 = 306,337.50 : x
  2. Step 2: Convert to fraction form
    217,531/306,337.50 = 306,337.50/x
  3. Step 3: Cross multiply
    217,531x = 306,337.50 × 306,337.50
  4. Step 4: Simplify right side
    217,531x = 93,842,663,906.25
  5. Step 5: Solve for x
    x = 93,842,663,906.25/217,531
  6. Step 6: Final answer
    x = 431,399.04

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.