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Finding the Third Proportional to 206,472.50 and 457,163.50

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Solution

The third proportional to 206,472.50 and 457,163.50 is: 1,012,233.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,472.50 : 457,163.50 = 457,163.50 : x
  2. Step 2: Convert to fraction form
    206,472.50/457,163.50 = 457,163.50/x
  3. Step 3: Cross multiply
    206,472.50x = 457,163.50 × 457,163.50
  4. Step 4: Simplify right side
    206,472.50x = 208,998,465,732.25
  5. Step 5: Solve for x
    x = 208,998,465,732.25/206,472.50
  6. Step 6: Final answer
    x = 1,012,233.91

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.