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Finding the Third Proportional to 150.19 and 163.27

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Solution

The third proportional to 150.19 and 163.27 is: 177.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.19 : 163.27 = 163.27 : x
  2. Step 2: Convert to fraction form
    150.19/163.27 = 163.27/x
  3. Step 3: Cross multiply
    150.19x = 163.27 × 163.27
  4. Step 4: Simplify right side
    150.19x = 26,655.66
  5. Step 5: Solve for x
    x = 26,655.66/150.19
  6. Step 6: Final answer
    x = 177.48

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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.