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Finding the Third Proportional to 176.44 and 227.06

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Solution

The third proportional to 176.44 and 227.06 is: 292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.44 : 227.06 = 227.06 : x
  2. Step 2: Convert to fraction form
    176.44/227.06 = 227.06/x
  3. Step 3: Cross multiply
    176.44x = 227.06 × 227.06
  4. Step 4: Simplify right side
    176.44x = 51,557.38
  5. Step 5: Solve for x
    x = 51,557.38/176.44
  6. Step 6: Final answer
    x = 292.21

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.