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Finding the Third Proportional to 76.50 and 165.80

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Solution

The third proportional to 76.50 and 165.80 is: 359.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.50 : 165.80 = 165.80 : x
  2. Step 2: Convert to fraction form
    76.50/165.80 = 165.80/x
  3. Step 3: Cross multiply
    76.50x = 165.80 × 165.80
  4. Step 4: Simplify right side
    76.50x = 27,488.60
  5. Step 5: Solve for x
    x = 27,488.60/76.50
  6. Step 6: Final answer
    x = 359.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.