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Finding the Third Proportional to 227.74 and 341.66

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Solution

The third proportional to 227.74 and 341.66 is: 512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.74 : 341.66 = 341.66 : x
  2. Step 2: Convert to fraction form
    227.74/341.66 = 341.66/x
  3. Step 3: Cross multiply
    227.74x = 341.66 × 341.66
  4. Step 4: Simplify right side
    227.74x = 116,731.66
  5. Step 5: Solve for x
    x = 116,731.66/227.74
  6. Step 6: Final answer
    x = 512.56

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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.