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Finding the Third Proportional to 80,244 and 170,856

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Solution

The third proportional to 80,244 and 170,856 is: 363,787.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,244 : 170,856 = 170,856 : x
  2. Step 2: Convert to fraction form
    80,244/170,856 = 170,856/x
  3. Step 3: Cross multiply
    80,244x = 170,856 × 170,856
  4. Step 4: Simplify right side
    80,244x = 29,191,772,736
  5. Step 5: Solve for x
    x = 29,191,772,736/80,244
  6. Step 6: Final answer
    x = 363,787.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.