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Finding the Third Proportional to 222,951 and 476,142

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Solution

The third proportional to 222,951 and 476,142 is: 1,016,865.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,951 : 476,142 = 476,142 : x
  2. Step 2: Convert to fraction form
    222,951/476,142 = 476,142/x
  3. Step 3: Cross multiply
    222,951x = 476,142 × 476,142
  4. Step 4: Simplify right side
    222,951x = 226,711,204,164
  5. Step 5: Solve for x
    x = 226,711,204,164/222,951
  6. Step 6: Final answer
    x = 1,016,865.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.