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Finding the Third Proportional to 165 and 352.69

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Solution

The third proportional to 165 and 352.69 is: 753.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    165 : 352.69 = 352.69 : x
  2. Step 2: Convert to fraction form
    165/352.69 = 352.69/x
  3. Step 3: Cross multiply
    165x = 352.69 × 352.69
  4. Step 4: Simplify right side
    165x = 124,388.47
  5. Step 5: Solve for x
    x = 124,388.47/165
  6. Step 6: Final answer
    x = 753.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.