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Finding the Third Proportional to 165 and 323.25

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Solution

The third proportional to 165 and 323.25 is: 633.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    165 : 323.25 = 323.25 : x
  2. Step 2: Convert to fraction form
    165/323.25 = 323.25/x
  3. Step 3: Cross multiply
    165x = 323.25 × 323.25
  4. Step 4: Simplify right side
    165x = 104,490.56
  5. Step 5: Solve for x
    x = 104,490.56/165
  6. Step 6: Final answer
    x = 633.28

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.