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Finding the Third Proportional to 217,329.75 and 332,449.88

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Solution

The third proportional to 217,329.75 and 332,449.88 is: 508,549.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,329.75 : 332,449.88 = 332,449.88 : x
  2. Step 2: Convert to fraction form
    217,329.75/332,449.88 = 332,449.88/x
  3. Step 3: Cross multiply
    217,329.75x = 332,449.88 × 332,449.88
  4. Step 4: Simplify right side
    217,329.75x = 110,522,919,387.52
  5. Step 5: Solve for x
    x = 110,522,919,387.52/217,329.75
  6. Step 6: Final answer
    x = 508,549.42

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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.