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Finding the Third Proportional to 217,802 and 329,986

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Solution

The third proportional to 217,802 and 329,986 is: 499,952.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,802 : 329,986 = 329,986 : x
  2. Step 2: Convert to fraction form
    217,802/329,986 = 329,986/x
  3. Step 3: Cross multiply
    217,802x = 329,986 × 329,986
  4. Step 4: Simplify right side
    217,802x = 108,890,760,196
  5. Step 5: Solve for x
    x = 108,890,760,196/217,802
  6. Step 6: Final answer
    x = 499,952.99

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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.