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Finding the Third Proportional to 181,658.72 and 424,301.72

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Solution

The third proportional to 181,658.72 and 424,301.72 is: 991,044.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,658.72 : 424,301.72 = 424,301.72 : x
  2. Step 2: Convert to fraction form
    181,658.72/424,301.72 = 424,301.72/x
  3. Step 3: Cross multiply
    181,658.72x = 424,301.72 × 424,301.72
  4. Step 4: Simplify right side
    181,658.72x = 180,031,948,534.20
  5. Step 5: Solve for x
    x = 180,031,948,534.20/181,658.72
  6. Step 6: Final answer
    x = 991,044.91

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.