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Finding the Third Proportional to 80,253 and 170,874

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Solution

The third proportional to 80,253 and 170,874 is: 363,823.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,253 : 170,874 = 170,874 : x
  2. Step 2: Convert to fraction form
    80,253/170,874 = 170,874/x
  3. Step 3: Cross multiply
    80,253x = 170,874 × 170,874
  4. Step 4: Simplify right side
    80,253x = 29,197,923,876
  5. Step 5: Solve for x
    x = 29,197,923,876/80,253
  6. Step 6: Final answer
    x = 363,823.46

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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.