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Finding the Third Proportional to 206,757 and 445,192

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Solution

The third proportional to 206,757 and 445,192 is: 958,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,757 : 445,192 = 445,192 : x
  2. Step 2: Convert to fraction form
    206,757/445,192 = 445,192/x
  3. Step 3: Cross multiply
    206,757x = 445,192 × 445,192
  4. Step 4: Simplify right side
    206,757x = 198,195,916,864
  5. Step 5: Solve for x
    x = 198,195,916,864/206,757
  6. Step 6: Final answer
    x = 958,593.50

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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.