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Finding the Third Proportional to 178,716.50 and 278,625

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Solution

The third proportional to 178,716.50 and 278,625 is: 434,385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,716.50 : 278,625 = 278,625 : x
  2. Step 2: Convert to fraction form
    178,716.50/278,625 = 278,625/x
  3. Step 3: Cross multiply
    178,716.50x = 278,625 × 278,625
  4. Step 4: Simplify right side
    178,716.50x = 77,631,890,625
  5. Step 5: Solve for x
    x = 77,631,890,625/178,716.50
  6. Step 6: Final answer
    x = 434,385.69

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.