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Finding the Third Proportional to 163.97 and 237.09

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Solution

The third proportional to 163.97 and 237.09 is: 342.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.97 : 237.09 = 237.09 : x
  2. Step 2: Convert to fraction form
    163.97/237.09 = 237.09/x
  3. Step 3: Cross multiply
    163.97x = 237.09 × 237.09
  4. Step 4: Simplify right side
    163.97x = 56,213.45
  5. Step 5: Solve for x
    x = 56,213.45/163.97
  6. Step 6: Final answer
    x = 342.83

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.