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Finding the Third Proportional to 227.44 and 343.08

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Solution

The third proportional to 227.44 and 343.08 is: 517.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.44 : 343.08 = 343.08 : x
  2. Step 2: Convert to fraction form
    227.44/343.08 = 343.08/x
  3. Step 3: Cross multiply
    227.44x = 343.08 × 343.08
  4. Step 4: Simplify right side
    227.44x = 117,702.60
  5. Step 5: Solve for x
    x = 117,702.60/227.44
  6. Step 6: Final answer
    x = 517.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.