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Finding the Third Proportional to 206,753.50 and 445,185.25

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Solution

The third proportional to 206,753.50 and 445,185.25 is: 958,580.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,753.50 : 445,185.25 = 445,185.25 : x
  2. Step 2: Convert to fraction form
    206,753.50/445,185.25 = 445,185.25/x
  3. Step 3: Cross multiply
    206,753.50x = 445,185.25 × 445,185.25
  4. Step 4: Simplify right side
    206,753.50x = 198,189,906,817.56
  5. Step 5: Solve for x
    x = 198,189,906,817.56/206,753.50
  6. Step 6: Final answer
    x = 958,580.66

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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.