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Finding the Third Proportional to 206,142.75 and 443,449.13

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Solution

The third proportional to 206,142.75 and 443,449.13 is: 953,936.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,142.75 : 443,449.13 = 443,449.13 : x
  2. Step 2: Convert to fraction form
    206,142.75/443,449.13 = 443,449.13/x
  3. Step 3: Cross multiply
    206,142.75x = 443,449.13 × 443,449.13
  4. Step 4: Simplify right side
    206,142.75x = 196,647,126,463.27
  5. Step 5: Solve for x
    x = 196,647,126,463.27/206,142.75
  6. Step 6: Final answer
    x = 953,936.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.