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Finding the Third Proportional to 147.38 and 227.06

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Solution

The third proportional to 147.38 and 227.06 is: 349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.38 : 227.06 = 227.06 : x
  2. Step 2: Convert to fraction form
    147.38/227.06 = 227.06/x
  3. Step 3: Cross multiply
    147.38x = 227.06 × 227.06
  4. Step 4: Simplify right side
    147.38x = 51,557.38
  5. Step 5: Solve for x
    x = 51,557.38/147.38
  6. Step 6: Final answer
    x = 349.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.