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Finding the Third Proportional to 70.22 and 163.22

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Solution

The third proportional to 70.22 and 163.22 is: 379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.22 : 163.22 = 163.22 : x
  2. Step 2: Convert to fraction form
    70.22/163.22 = 163.22/x
  3. Step 3: Cross multiply
    70.22x = 163.22 × 163.22
  4. Step 4: Simplify right side
    70.22x = 26,640.36
  5. Step 5: Solve for x
    x = 26,640.36/70.22
  6. Step 6: Final answer
    x = 379.39

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.