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Finding the Third Proportional to 165 and 183

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Solution

The third proportional to 165 and 183 is: 202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    165 : 183 = 183 : x
  2. Step 2: Convert to fraction form
    165/183 = 183/x
  3. Step 3: Cross multiply
    165x = 183 × 183
  4. Step 4: Simplify right side
    165x = 33,489
  5. Step 5: Solve for x
    x = 33,489/165
  6. Step 6: Final answer
    x = 202.96

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.