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Finding the Third Proportional to 181,158.75 and 261,289.13

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Solution

The third proportional to 181,158.75 and 261,289.13 is: 376,862.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,158.75 : 261,289.13 = 261,289.13 : x
  2. Step 2: Convert to fraction form
    181,158.75/261,289.13 = 261,289.13/x
  3. Step 3: Cross multiply
    181,158.75x = 261,289.13 × 261,289.13
  4. Step 4: Simplify right side
    181,158.75x = 68,272,006,843.27
  5. Step 5: Solve for x
    x = 68,272,006,843.27/181,158.75
  6. Step 6: Final answer
    x = 376,862.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.