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Finding the Third Proportional to 337.38 and 506.13

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Solution

The third proportional to 337.38 and 506.13 is: 759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.38 : 506.13 = 506.13 : x
  2. Step 2: Convert to fraction form
    337.38/506.13 = 506.13/x
  3. Step 3: Cross multiply
    337.38x = 506.13 × 506.13
  4. Step 4: Simplify right side
    337.38x = 256,162.52
  5. Step 5: Solve for x
    x = 256,162.52/337.38
  6. Step 6: Final answer
    x = 759.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.