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Finding the Third Proportional to 222,230 and 338,812

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Solution

The third proportional to 222,230 and 338,812 is: 516,552.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,230 : 338,812 = 338,812 : x
  2. Step 2: Convert to fraction form
    222,230/338,812 = 338,812/x
  3. Step 3: Cross multiply
    222,230x = 338,812 × 338,812
  4. Step 4: Simplify right side
    222,230x = 114,793,571,344
  5. Step 5: Solve for x
    x = 114,793,571,344/222,230
  6. Step 6: Final answer
    x = 516,552.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.