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Finding the Third Proportional to 199,676 and 300,327

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Solution

The third proportional to 199,676 and 300,327 is: 451,713.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,676 : 300,327 = 300,327 : x
  2. Step 2: Convert to fraction form
    199,676/300,327 = 300,327/x
  3. Step 3: Cross multiply
    199,676x = 300,327 × 300,327
  4. Step 4: Simplify right side
    199,676x = 90,196,306,929
  5. Step 5: Solve for x
    x = 90,196,306,929/199,676
  6. Step 6: Final answer
    x = 451,713.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.