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Finding the Third Proportional to 217,794.38 and 329,974.59

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Solution

The third proportional to 217,794.38 and 329,974.59 is: 499,935.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,794.38 : 329,974.59 = 329,974.59 : x
  2. Step 2: Convert to fraction form
    217,794.38/329,974.59 = 329,974.59/x
  3. Step 3: Cross multiply
    217,794.38x = 329,974.59 × 329,974.59
  4. Step 4: Simplify right side
    217,794.38x = 108,883,232,520.48
  5. Step 5: Solve for x
    x = 108,883,232,520.48/217,794.38
  6. Step 6: Final answer
    x = 499,935.93

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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.