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Finding the Third Proportional to 163.75 and 229.06

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Solution

The third proportional to 163.75 and 229.06 is: 320.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.75 : 229.06 = 229.06 : x
  2. Step 2: Convert to fraction form
    163.75/229.06 = 229.06/x
  3. Step 3: Cross multiply
    163.75x = 229.06 × 229.06
  4. Step 4: Simplify right side
    163.75x = 52,469.63
  5. Step 5: Solve for x
    x = 52,469.63/163.75
  6. Step 6: Final answer
    x = 320.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.