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Finding the Third Proportional to 163.38 and 355.56

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Solution

The third proportional to 163.38 and 355.56 is: 773.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.38 : 355.56 = 355.56 : x
  2. Step 2: Convert to fraction form
    163.38/355.56 = 355.56/x
  3. Step 3: Cross multiply
    163.38x = 355.56 × 355.56
  4. Step 4: Simplify right side
    163.38x = 126,424.69
  5. Step 5: Solve for x
    x = 126,424.69/163.38
  6. Step 6: Final answer
    x = 773.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.