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Finding the Third Proportional to 165 and 348

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Solution

The third proportional to 165 and 348 is: 733.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    165 : 348 = 348 : x
  2. Step 2: Convert to fraction form
    165/348 = 348/x
  3. Step 3: Cross multiply
    165x = 348 × 348
  4. Step 4: Simplify right side
    165x = 121,104
  5. Step 5: Solve for x
    x = 121,104/165
  6. Step 6: Final answer
    x = 733.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.