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Finding the Third Proportional to 80,200.50 and 173,632.50

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Solution

The third proportional to 80,200.50 and 173,632.50 is: 375,910.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,200.50 : 173,632.50 = 173,632.50 : x
  2. Step 2: Convert to fraction form
    80,200.50/173,632.50 = 173,632.50/x
  3. Step 3: Cross multiply
    80,200.50x = 173,632.50 × 173,632.50
  4. Step 4: Simplify right side
    80,200.50x = 30,148,245,056.25
  5. Step 5: Solve for x
    x = 30,148,245,056.25/80,200.50
  6. Step 6: Final answer
    x = 375,910.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.