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Finding the Third Proportional to 217,496 and 332,744

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Solution

The third proportional to 217,496 and 332,744 is: 509,060.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,496 : 332,744 = 332,744 : x
  2. Step 2: Convert to fraction form
    217,496/332,744 = 332,744/x
  3. Step 3: Cross multiply
    217,496x = 332,744 × 332,744
  4. Step 4: Simplify right side
    217,496x = 110,718,569,536
  5. Step 5: Solve for x
    x = 110,718,569,536/217,496
  6. Step 6: Final answer
    x = 509,060.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.