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Finding the Third Proportional to 69.19 and 163.27

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Solution

The third proportional to 69.19 and 163.27 is: 385.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.19 : 163.27 = 163.27 : x
  2. Step 2: Convert to fraction form
    69.19/163.27 = 163.27/x
  3. Step 3: Cross multiply
    69.19x = 163.27 × 163.27
  4. Step 4: Simplify right side
    69.19x = 26,655.66
  5. Step 5: Solve for x
    x = 26,655.66/69.19
  6. Step 6: Final answer
    x = 385.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.