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Finding the Third Proportional to 181,711.13 and 267,319.13

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Solution

The third proportional to 181,711.13 and 267,319.13 is: 393,258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,711.13 : 267,319.13 = 267,319.13 : x
  2. Step 2: Convert to fraction form
    181,711.13/267,319.13 = 267,319.13/x
  3. Step 3: Cross multiply
    181,711.13x = 267,319.13 × 267,319.13
  4. Step 4: Simplify right side
    181,711.13x = 71,459,514,590.77
  5. Step 5: Solve for x
    x = 71,459,514,590.77/181,711.13
  6. Step 6: Final answer
    x = 393,258.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.