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Finding the Third Proportional to 168,151.25 and 280,252.09

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Solution

The third proportional to 168,151.25 and 280,252.09 is: 467,086.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,151.25 : 280,252.09 = 280,252.09 : x
  2. Step 2: Convert to fraction form
    168,151.25/280,252.09 = 280,252.09/x
  3. Step 3: Cross multiply
    168,151.25x = 280,252.09 × 280,252.09
  4. Step 4: Simplify right side
    168,151.25x = 78,541,233,861.79
  5. Step 5: Solve for x
    x = 78,541,233,861.79/168,151.25
  6. Step 6: Final answer
    x = 467,086.82

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.