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Finding the Third Proportional to 205,217.25 and 327,829.13

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Solution

The third proportional to 205,217.25 and 327,829.13 is: 523,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,217.25 : 327,829.13 = 327,829.13 : x
  2. Step 2: Convert to fraction form
    205,217.25/327,829.13 = 327,829.13/x
  3. Step 3: Cross multiply
    205,217.25x = 327,829.13 × 327,829.13
  4. Step 4: Simplify right side
    205,217.25x = 107,471,935,198.27
  5. Step 5: Solve for x
    x = 107,471,935,198.27/205,217.25
  6. Step 6: Final answer
    x = 523,698.35

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.