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Finding the Third Proportional to 80,518.50 and 174,910.75

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Solution

The third proportional to 80,518.50 and 174,910.75 is: 379,959.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,518.50 : 174,910.75 = 174,910.75 : x
  2. Step 2: Convert to fraction form
    80,518.50/174,910.75 = 174,910.75/x
  3. Step 3: Cross multiply
    80,518.50x = 174,910.75 × 174,910.75
  4. Step 4: Simplify right side
    80,518.50x = 30,593,770,465.56
  5. Step 5: Solve for x
    x = 30,593,770,465.56/80,518.50
  6. Step 6: Final answer
    x = 379,959.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.