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Finding the Third Proportional to 165.69 and 258.22

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Solution

The third proportional to 165.69 and 258.22 is: 402.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.69 : 258.22 = 258.22 : x
  2. Step 2: Convert to fraction form
    165.69/258.22 = 258.22/x
  3. Step 3: Cross multiply
    165.69x = 258.22 × 258.22
  4. Step 4: Simplify right side
    165.69x = 66,676.92
  5. Step 5: Solve for x
    x = 66,676.92/165.69
  6. Step 6: Final answer
    x = 402.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.