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Finding the Third Proportional to 206,472.75 and 457,164.75

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Solution

The third proportional to 206,472.75 and 457,164.75 is: 1,012,238.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,472.75 : 457,164.75 = 457,164.75 : x
  2. Step 2: Convert to fraction form
    206,472.75/457,164.75 = 457,164.75/x
  3. Step 3: Cross multiply
    206,472.75x = 457,164.75 × 457,164.75
  4. Step 4: Simplify right side
    206,472.75x = 208,999,608,642.56
  5. Step 5: Solve for x
    x = 208,999,608,642.56/206,472.75
  6. Step 6: Final answer
    x = 1,012,238.22

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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.