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Finding the Third Proportional to 165.97 and 360.69

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Solution

The third proportional to 165.97 and 360.69 is: 783.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.97 : 360.69 = 360.69 : x
  2. Step 2: Convert to fraction form
    165.97/360.69 = 360.69/x
  3. Step 3: Cross multiply
    165.97x = 360.69 × 360.69
  4. Step 4: Simplify right side
    165.97x = 130,095.47
  5. Step 5: Solve for x
    x = 130,095.47/165.97
  6. Step 6: Final answer
    x = 783.86

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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.