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Finding the Third Proportional to 161,092.13 and 241,545.38

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Solution

The third proportional to 161,092.13 and 241,545.38 is: 362,178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,092.13 : 241,545.38 = 241,545.38 : x
  2. Step 2: Convert to fraction form
    161,092.13/241,545.38 = 241,545.38/x
  3. Step 3: Cross multiply
    161,092.13x = 241,545.38 × 241,545.38
  4. Step 4: Simplify right side
    161,092.13x = 58,344,168,183.89
  5. Step 5: Solve for x
    x = 58,344,168,183.89/161,092.13
  6. Step 6: Final answer
    x = 362,178.90

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Why These Related Problems?

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