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Finding the Third Proportional to 250,141.50 and 387,909

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Solution

The third proportional to 250,141.50 and 387,909 is: 601,553.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,141.50 : 387,909 = 387,909 : x
  2. Step 2: Convert to fraction form
    250,141.50/387,909 = 387,909/x
  3. Step 3: Cross multiply
    250,141.50x = 387,909 × 387,909
  4. Step 4: Simplify right side
    250,141.50x = 150,473,392,281
  5. Step 5: Solve for x
    x = 150,473,392,281/250,141.50
  6. Step 6: Final answer
    x = 601,553.09

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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.