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Finding the Third Proportional to 100,374 and 222,891

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Solution

The third proportional to 100,374 and 222,891 is: 494,952.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,374 : 222,891 = 222,891 : x
  2. Step 2: Convert to fraction form
    100,374/222,891 = 222,891/x
  3. Step 3: Cross multiply
    100,374x = 222,891 × 222,891
  4. Step 4: Simplify right side
    100,374x = 49,680,397,881
  5. Step 5: Solve for x
    x = 49,680,397,881/100,374
  6. Step 6: Final answer
    x = 494,952.86

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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.