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Finding the Third Proportional to 165 and 231.75

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Solution

The third proportional to 165 and 231.75 is: 325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165 : 231.75 = 231.75 : x
  2. Step 2: Convert to fraction form
    165/231.75 = 231.75/x
  3. Step 3: Cross multiply
    165x = 231.75 × 231.75
  4. Step 4: Simplify right side
    165x = 53,708.06
  5. Step 5: Solve for x
    x = 53,708.06/165
  6. Step 6: Final answer
    x = 325.50

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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.