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Finding the Third Proportional to 165 and 291

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Solution

The third proportional to 165 and 291 is: 513.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    165 : 291 = 291 : x
  2. Step 2: Convert to fraction form
    165/291 = 291/x
  3. Step 3: Cross multiply
    165x = 291 × 291
  4. Step 4: Simplify right side
    165x = 84,681
  5. Step 5: Solve for x
    x = 84,681/165
  6. Step 6: Final answer
    x = 513.22

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.