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Finding the Third Proportional to 150.84 and 163.78

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Solution

The third proportional to 150.84 and 163.78 is: 177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.84 : 163.78 = 163.78 : x
  2. Step 2: Convert to fraction form
    150.84/163.78 = 163.78/x
  3. Step 3: Cross multiply
    150.84x = 163.78 × 163.78
  4. Step 4: Simplify right side
    150.84x = 26,824.30
  5. Step 5: Solve for x
    x = 26,824.30/150.84
  6. Step 6: Final answer
    x = 177.83

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.