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Finding the Third Proportional to 181,545.75 and 383,869.13

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Solution

The third proportional to 181,545.75 and 383,869.13 is: 811,671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,545.75 : 383,869.13 = 383,869.13 : x
  2. Step 2: Convert to fraction form
    181,545.75/383,869.13 = 383,869.13/x
  3. Step 3: Cross multiply
    181,545.75x = 383,869.13 × 383,869.13
  4. Step 4: Simplify right side
    181,545.75x = 147,355,505,128.27
  5. Step 5: Solve for x
    x = 147,355,505,128.27/181,545.75
  6. Step 6: Final answer
    x = 811,671.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.