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Finding the Third Proportional to 76.62 and 165.52

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Solution

The third proportional to 76.62 and 165.52 is: 357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.62 : 165.52 = 165.52 : x
  2. Step 2: Convert to fraction form
    76.62/165.52 = 165.52/x
  3. Step 3: Cross multiply
    76.62x = 165.52 × 165.52
  4. Step 4: Simplify right side
    76.62x = 27,396.88
  5. Step 5: Solve for x
    x = 27,396.88/76.62
  6. Step 6: Final answer
    x = 357.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.