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Finding the Third Proportional to 185,928 and 381,744

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Solution

The third proportional to 185,928 and 381,744 is: 783,789.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,928 : 381,744 = 381,744 : x
  2. Step 2: Convert to fraction form
    185,928/381,744 = 381,744/x
  3. Step 3: Cross multiply
    185,928x = 381,744 × 381,744
  4. Step 4: Simplify right side
    185,928x = 145,728,481,536
  5. Step 5: Solve for x
    x = 145,728,481,536/185,928
  6. Step 6: Final answer
    x = 783,789.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.