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Finding the Third Proportional to 181,448 and 363,624

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Solution

The third proportional to 181,448 and 363,624 is: 728,706.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,448 : 363,624 = 363,624 : x
  2. Step 2: Convert to fraction form
    181,448/363,624 = 363,624/x
  3. Step 3: Cross multiply
    181,448x = 363,624 × 363,624
  4. Step 4: Simplify right side
    181,448x = 132,222,413,376
  5. Step 5: Solve for x
    x = 132,222,413,376/181,448
  6. Step 6: Final answer
    x = 728,706.92

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.