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Finding the Third Proportional to 217,793.81 and 329,973.75

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Solution

The third proportional to 217,793.81 and 329,973.75 is: 499,934.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,793.81 : 329,973.75 = 329,973.75 : x
  2. Step 2: Convert to fraction form
    217,793.81/329,973.75 = 329,973.75/x
  3. Step 3: Cross multiply
    217,793.81x = 329,973.75 × 329,973.75
  4. Step 4: Simplify right side
    217,793.81x = 108,882,675,689.06
  5. Step 5: Solve for x
    x = 108,882,675,689.06/217,793.81
  6. Step 6: Final answer
    x = 499,934.66

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