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Finding the Third Proportional to 187,250 and 400,744

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Solution

The third proportional to 187,250 and 400,744 is: 857,654.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,250 : 400,744 = 400,744 : x
  2. Step 2: Convert to fraction form
    187,250/400,744 = 400,744/x
  3. Step 3: Cross multiply
    187,250x = 400,744 × 400,744
  4. Step 4: Simplify right side
    187,250x = 160,595,753,536
  5. Step 5: Solve for x
    x = 160,595,753,536/187,250
  6. Step 6: Final answer
    x = 857,654.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.