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Finding the Third Proportional to 80,219 and 170,761

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Solution

The third proportional to 80,219 and 170,761 is: 363,496.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,219 : 170,761 = 170,761 : x
  2. Step 2: Convert to fraction form
    80,219/170,761 = 170,761/x
  3. Step 3: Cross multiply
    80,219x = 170,761 × 170,761
  4. Step 4: Simplify right side
    80,219x = 29,159,319,121
  5. Step 5: Solve for x
    x = 29,159,319,121/80,219
  6. Step 6: Final answer
    x = 363,496.42

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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.