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Finding the Third Proportional to 250,008.75 and 387,217.13

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Solution

The third proportional to 250,008.75 and 387,217.13 is: 599,727.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,008.75 : 387,217.13 = 387,217.13 : x
  2. Step 2: Convert to fraction form
    250,008.75/387,217.13 = 387,217.13/x
  3. Step 3: Cross multiply
    250,008.75x = 387,217.13 × 387,217.13
  4. Step 4: Simplify right side
    250,008.75x = 149,937,101,893.27
  5. Step 5: Solve for x
    x = 149,937,101,893.27/250,008.75
  6. Step 6: Final answer
    x = 599,727.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.