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Finding the Third Proportional to 226,827 and 335,067

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Solution

The third proportional to 226,827 and 335,067 is: 494,958.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,827 : 335,067 = 335,067 : x
  2. Step 2: Convert to fraction form
    226,827/335,067 = 335,067/x
  3. Step 3: Cross multiply
    226,827x = 335,067 × 335,067
  4. Step 4: Simplify right side
    226,827x = 112,269,894,489
  5. Step 5: Solve for x
    x = 112,269,894,489/226,827
  6. Step 6: Final answer
    x = 494,958.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.