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Finding the Third Proportional to 226,845 and 335,093

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Solution

The third proportional to 226,845 and 335,093 is: 494,995.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,845 : 335,093 = 335,093 : x
  2. Step 2: Convert to fraction form
    226,845/335,093 = 335,093/x
  3. Step 3: Cross multiply
    226,845x = 335,093 × 335,093
  4. Step 4: Simplify right side
    226,845x = 112,287,318,649
  5. Step 5: Solve for x
    x = 112,287,318,649/226,845
  6. Step 6: Final answer
    x = 494,995.78

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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.