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Finding the Third Proportional to 170,859.38 and 226,764.56

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Solution

The third proportional to 170,859.38 and 226,764.56 is: 300,961.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,859.38 : 226,764.56 = 226,764.56 : x
  2. Step 2: Convert to fraction form
    170,859.38/226,764.56 = 226,764.56/x
  3. Step 3: Cross multiply
    170,859.38x = 226,764.56 × 226,764.56
  4. Step 4: Simplify right side
    170,859.38x = 51,422,166,805.82
  5. Step 5: Solve for x
    x = 51,422,166,805.82/170,859.38
  6. Step 6: Final answer
    x = 300,961.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.