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Finding the Third Proportional to 226,769.25 and 343,086.75

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Solution

The third proportional to 226,769.25 and 343,086.75 is: 519,067.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,769.25 : 343,086.75 = 343,086.75 : x
  2. Step 2: Convert to fraction form
    226,769.25/343,086.75 = 343,086.75/x
  3. Step 3: Cross multiply
    226,769.25x = 343,086.75 × 343,086.75
  4. Step 4: Simplify right side
    226,769.25x = 117,708,518,025.56
  5. Step 5: Solve for x
    x = 117,708,518,025.56/226,769.25
  6. Step 6: Final answer
    x = 519,067.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.