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Finding the Third Proportional to 143.94 and 227.78

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Solution

The third proportional to 143.94 and 227.78 is: 360.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.94 : 227.78 = 227.78 : x
  2. Step 2: Convert to fraction form
    143.94/227.78 = 227.78/x
  3. Step 3: Cross multiply
    143.94x = 227.78 × 227.78
  4. Step 4: Simplify right side
    143.94x = 51,884.30
  5. Step 5: Solve for x
    x = 51,884.30/143.94
  6. Step 6: Final answer
    x = 360.46

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.