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Finding the Third Proportional to 80,314.50 and 169,863

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Solution

The third proportional to 80,314.50 and 169,863 is: 359,255.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,314.50 : 169,863 = 169,863 : x
  2. Step 2: Convert to fraction form
    80,314.50/169,863 = 169,863/x
  3. Step 3: Cross multiply
    80,314.50x = 169,863 × 169,863
  4. Step 4: Simplify right side
    80,314.50x = 28,853,438,769
  5. Step 5: Solve for x
    x = 28,853,438,769/80,314.50
  6. Step 6: Final answer
    x = 359,255.66

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.