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Finding the Third Proportional to 204,715.69 and 327,007.13

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Solution

The third proportional to 204,715.69 and 327,007.13 is: 522,352.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,715.69 : 327,007.13 = 327,007.13 : x
  2. Step 2: Convert to fraction form
    204,715.69/327,007.13 = 327,007.13/x
  3. Step 3: Cross multiply
    204,715.69x = 327,007.13 × 327,007.13
  4. Step 4: Simplify right side
    204,715.69x = 106,933,659,800.77
  5. Step 5: Solve for x
    x = 106,933,659,800.77/204,715.69
  6. Step 6: Final answer
    x = 522,352.05

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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.