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Finding the Third Proportional to 165.84 and 265.69

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Solution

The third proportional to 165.84 and 265.69 is: 425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.84 : 265.69 = 265.69 : x
  2. Step 2: Convert to fraction form
    165.84/265.69 = 265.69/x
  3. Step 3: Cross multiply
    165.84x = 265.69 × 265.69
  4. Step 4: Simplify right side
    165.84x = 70,589.85
  5. Step 5: Solve for x
    x = 70,589.85/165.84
  6. Step 6: Final answer
    x = 425.64

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.