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Finding the Third Proportional to 222,133 and 433,193

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Solution

The third proportional to 222,133 and 433,193 is: 844,791.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,133 : 433,193 = 433,193 : x
  2. Step 2: Convert to fraction form
    222,133/433,193 = 433,193/x
  3. Step 3: Cross multiply
    222,133x = 433,193 × 433,193
  4. Step 4: Simplify right side
    222,133x = 187,656,175,249
  5. Step 5: Solve for x
    x = 187,656,175,249/222,133
  6. Step 6: Final answer
    x = 844,791.97

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.