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Finding the Third Proportional to 222,324 and 332,874

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Solution

The third proportional to 222,324 and 332,874 is: 498,394.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,324 : 332,874 = 332,874 : x
  2. Step 2: Convert to fraction form
    222,324/332,874 = 332,874/x
  3. Step 3: Cross multiply
    222,324x = 332,874 × 332,874
  4. Step 4: Simplify right side
    222,324x = 110,805,099,876
  5. Step 5: Solve for x
    x = 110,805,099,876/222,324
  6. Step 6: Final answer
    x = 498,394.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.