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Finding the Third Proportional to 227.44 and 506.06

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Solution

The third proportional to 227.44 and 506.06 is: 1,126.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.44 : 506.06 = 506.06 : x
  2. Step 2: Convert to fraction form
    227.44/506.06 = 506.06/x
  3. Step 3: Cross multiply
    227.44x = 506.06 × 506.06
  4. Step 4: Simplify right side
    227.44x = 256,099.25
  5. Step 5: Solve for x
    x = 256,099.25/227.44
  6. Step 6: Final answer
    x = 1,126.02

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.