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Finding the Third Proportional to 147,834 and 227,542

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Solution

The third proportional to 147,834 and 227,542 is: 350,226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,834 : 227,542 = 227,542 : x
  2. Step 2: Convert to fraction form
    147,834/227,542 = 227,542/x
  3. Step 3: Cross multiply
    147,834x = 227,542 × 227,542
  4. Step 4: Simplify right side
    147,834x = 51,775,361,764
  5. Step 5: Solve for x
    x = 51,775,361,764/147,834
  6. Step 6: Final answer
    x = 350,226.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.