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Finding the Third Proportional to 217,675.13 and 329,797.13

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Solution

The third proportional to 217,675.13 and 329,797.13 is: 499,671.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,675.13 : 329,797.13 = 329,797.13 : x
  2. Step 2: Convert to fraction form
    217,675.13/329,797.13 = 329,797.13/x
  3. Step 3: Cross multiply
    217,675.13x = 329,797.13 × 329,797.13
  4. Step 4: Simplify right side
    217,675.13x = 108,766,143,658.27
  5. Step 5: Solve for x
    x = 108,766,143,658.27/217,675.13
  6. Step 6: Final answer
    x = 499,671.90

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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.