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Finding the Third Proportional to 217,716.75 and 329,856.75

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Solution

The third proportional to 217,716.75 and 329,856.75 is: 499,757.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,716.75 : 329,856.75 = 329,856.75 : x
  2. Step 2: Convert to fraction form
    217,716.75/329,856.75 = 329,856.75/x
  3. Step 3: Cross multiply
    217,716.75x = 329,856.75 × 329,856.75
  4. Step 4: Simplify right side
    217,716.75x = 108,805,475,520.56
  5. Step 5: Solve for x
    x = 108,805,475,520.56/217,716.75
  6. Step 6: Final answer
    x = 499,757.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.