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Finding the Third Proportional to 80,489.95 and 174,819.52

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Solution

The third proportional to 80,489.95 and 174,819.52 is: 379,697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,489.95 : 174,819.52 = 174,819.52 : x
  2. Step 2: Convert to fraction form
    80,489.95/174,819.52 = 174,819.52/x
  3. Step 3: Cross multiply
    80,489.95x = 174,819.52 × 174,819.52
  4. Step 4: Simplify right side
    80,489.95x = 30,561,863,043.36
  5. Step 5: Solve for x
    x = 30,561,863,043.36/80,489.95
  6. Step 6: Final answer
    x = 379,697.86

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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.