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Finding the Third Proportional to 135 and 227.06

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Solution

The third proportional to 135 and 227.06 is: 381.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    135 : 227.06 = 227.06 : x
  2. Step 2: Convert to fraction form
    135/227.06 = 227.06/x
  3. Step 3: Cross multiply
    135x = 227.06 × 227.06
  4. Step 4: Simplify right side
    135x = 51,557.38
  5. Step 5: Solve for x
    x = 51,557.38/135
  6. Step 6: Final answer
    x = 381.91

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.