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Finding the Third Proportional to 165 and 239.25

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Solution

The third proportional to 165 and 239.25 is: 346.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    165 : 239.25 = 239.25 : x
  2. Step 2: Convert to fraction form
    165/239.25 = 239.25/x
  3. Step 3: Cross multiply
    165x = 239.25 × 239.25
  4. Step 4: Simplify right side
    165x = 57,240.56
  5. Step 5: Solve for x
    x = 57,240.56/165
  6. Step 6: Final answer
    x = 346.91

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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.