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Finding the Third Proportional to 115.33 and 227.46

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Solution

The third proportional to 115.33 and 227.46 is: 448.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.33 : 227.46 = 227.46 : x
  2. Step 2: Convert to fraction form
    115.33/227.46 = 227.46/x
  3. Step 3: Cross multiply
    115.33x = 227.46 × 227.46
  4. Step 4: Simplify right side
    115.33x = 51,736.48
  5. Step 5: Solve for x
    x = 51,736.48/115.33
  6. Step 6: Final answer
    x = 448.59

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.