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Finding the Third Proportional to 229.44 and 496.22

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Solution

The third proportional to 229.44 and 496.22 is: 1,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.44 : 496.22 = 496.22 : x
  2. Step 2: Convert to fraction form
    229.44/496.22 = 496.22/x
  3. Step 3: Cross multiply
    229.44x = 496.22 × 496.22
  4. Step 4: Simplify right side
    229.44x = 246,233.05
  5. Step 5: Solve for x
    x = 246,233.05/229.44
  6. Step 6: Final answer
    x = 1,073.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.