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Finding the Third Proportional to 80,371.13 and 171,814.50

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Solution

The third proportional to 80,371.13 and 171,814.50 is: 367,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,371.13 : 171,814.50 = 171,814.50 : x
  2. Step 2: Convert to fraction form
    80,371.13/171,814.50 = 171,814.50/x
  3. Step 3: Cross multiply
    80,371.13x = 171,814.50 × 171,814.50
  4. Step 4: Simplify right side
    80,371.13x = 29,520,222,410.25
  5. Step 5: Solve for x
    x = 29,520,222,410.25/80,371.13
  6. Step 6: Final answer
    x = 367,298.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.