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Finding the Third Proportional to 165.06 and 232.19

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Solution

The third proportional to 165.06 and 232.19 is: 326.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.06 : 232.19 = 232.19 : x
  2. Step 2: Convert to fraction form
    165.06/232.19 = 232.19/x
  3. Step 3: Cross multiply
    165.06x = 232.19 × 232.19
  4. Step 4: Simplify right side
    165.06x = 53,911.04
  5. Step 5: Solve for x
    x = 53,911.04/165.06
  6. Step 6: Final answer
    x = 326.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.