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Finding the Third Proportional to 226,296 and 471,186

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Solution

The third proportional to 226,296 and 471,186 is: 981,087.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,296 : 471,186 = 471,186 : x
  2. Step 2: Convert to fraction form
    226,296/471,186 = 471,186/x
  3. Step 3: Cross multiply
    226,296x = 471,186 × 471,186
  4. Step 4: Simplify right side
    226,296x = 222,016,246,596
  5. Step 5: Solve for x
    x = 222,016,246,596/226,296
  6. Step 6: Final answer
    x = 981,087.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.