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Finding the Third Proportional to 227.75 and 341.75

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Solution

The third proportional to 227.75 and 341.75 is: 512.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.75 : 341.75 = 341.75 : x
  2. Step 2: Convert to fraction form
    227.75/341.75 = 341.75/x
  3. Step 3: Cross multiply
    227.75x = 341.75 × 341.75
  4. Step 4: Simplify right side
    227.75x = 116,793.06
  5. Step 5: Solve for x
    x = 116,793.06/227.75
  6. Step 6: Final answer
    x = 512.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.