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Finding the Third Proportional to 80,800.50 and 173,508

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Solution

The third proportional to 80,800.50 and 173,508 is: 372,584.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,800.50 : 173,508 = 173,508 : x
  2. Step 2: Convert to fraction form
    80,800.50/173,508 = 173,508/x
  3. Step 3: Cross multiply
    80,800.50x = 173,508 × 173,508
  4. Step 4: Simplify right side
    80,800.50x = 30,105,026,064
  5. Step 5: Solve for x
    x = 30,105,026,064/80,800.50
  6. Step 6: Final answer
    x = 372,584.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.