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Finding the Third Proportional to 147.02 and 227.71

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Solution

The third proportional to 147.02 and 227.71 is: 352.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.02 : 227.71 = 227.71 : x
  2. Step 2: Convert to fraction form
    147.02/227.71 = 227.71/x
  3. Step 3: Cross multiply
    147.02x = 227.71 × 227.71
  4. Step 4: Simplify right side
    147.02x = 51,850.49
  5. Step 5: Solve for x
    x = 51,850.49/147.02
  6. Step 6: Final answer
    x = 352.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.