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Finding the Third Proportional to 180,672.50 and 381,693.88

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Solution

The third proportional to 180,672.50 and 381,693.88 is: 806,377.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,672.50 : 381,693.88 = 381,693.88 : x
  2. Step 2: Convert to fraction form
    180,672.50/381,693.88 = 381,693.88/x
  3. Step 3: Cross multiply
    180,672.50x = 381,693.88 × 381,693.88
  4. Step 4: Simplify right side
    180,672.50x = 145,690,214,212.52
  5. Step 5: Solve for x
    x = 145,690,214,212.52/180,672.50
  6. Step 6: Final answer
    x = 806,377.36

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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.