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Finding the Third Proportional to 222,230 and 344,193

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Solution

The third proportional to 222,230 and 344,193 is: 533,091.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,230 : 344,193 = 344,193 : x
  2. Step 2: Convert to fraction form
    222,230/344,193 = 344,193/x
  3. Step 3: Cross multiply
    222,230x = 344,193 × 344,193
  4. Step 4: Simplify right side
    222,230x = 118,468,821,249
  5. Step 5: Solve for x
    x = 118,468,821,249/222,230
  6. Step 6: Final answer
    x = 533,091.04

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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.