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Finding the Third Proportional to 222,676 and 467,234

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Solution

The third proportional to 222,676 and 467,234 is: 980,382.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,676 : 467,234 = 467,234 : x
  2. Step 2: Convert to fraction form
    222,676/467,234 = 467,234/x
  3. Step 3: Cross multiply
    222,676x = 467,234 × 467,234
  4. Step 4: Simplify right side
    222,676x = 218,307,610,756
  5. Step 5: Solve for x
    x = 218,307,610,756/222,676
  6. Step 6: Final answer
    x = 980,382.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.