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Finding the Third Proportional to 100,422 and 222,876

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Solution

The third proportional to 100,422 and 222,876 is: 494,649.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,422 : 222,876 = 222,876 : x
  2. Step 2: Convert to fraction form
    100,422/222,876 = 222,876/x
  3. Step 3: Cross multiply
    100,422x = 222,876 × 222,876
  4. Step 4: Simplify right side
    100,422x = 49,673,711,376
  5. Step 5: Solve for x
    x = 49,673,711,376/100,422
  6. Step 6: Final answer
    x = 494,649.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.