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Finding the Third Proportional to 222,794 and 345,147

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Solution

The third proportional to 222,794 and 345,147 is: 534,693.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,794 : 345,147 = 345,147 : x
  2. Step 2: Convert to fraction form
    222,794/345,147 = 345,147/x
  3. Step 3: Cross multiply
    222,794x = 345,147 × 345,147
  4. Step 4: Simplify right side
    222,794x = 119,126,451,609
  5. Step 5: Solve for x
    x = 119,126,451,609/222,794
  6. Step 6: Final answer
    x = 534,693.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.