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Finding the Third Proportional to 222,847 and 335,330

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Solution

The third proportional to 222,847 and 335,330 is: 504,589.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,847 : 335,330 = 335,330 : x
  2. Step 2: Convert to fraction form
    222,847/335,330 = 335,330/x
  3. Step 3: Cross multiply
    222,847x = 335,330 × 335,330
  4. Step 4: Simplify right side
    222,847x = 112,446,208,900
  5. Step 5: Solve for x
    x = 112,446,208,900/222,847
  6. Step 6: Final answer
    x = 504,589.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.