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Finding the Third Proportional to 122,624 and 227,744

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Solution

The third proportional to 122,624 and 227,744 is: 422,978.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,624 : 227,744 = 227,744 : x
  2. Step 2: Convert to fraction form
    122,624/227,744 = 227,744/x
  3. Step 3: Cross multiply
    122,624x = 227,744 × 227,744
  4. Step 4: Simplify right side
    122,624x = 51,867,329,536
  5. Step 5: Solve for x
    x = 51,867,329,536/122,624
  6. Step 6: Final answer
    x = 422,978.61

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.