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Finding the Third Proportional to 165.69 and 355.88

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Solution

The third proportional to 165.69 and 355.88 is: 764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.69 : 355.88 = 355.88 : x
  2. Step 2: Convert to fraction form
    165.69/355.88 = 355.88/x
  3. Step 3: Cross multiply
    165.69x = 355.88 × 355.88
  4. Step 4: Simplify right side
    165.69x = 126,647.02
  5. Step 5: Solve for x
    x = 126,647.02/165.69
  6. Step 6: Final answer
    x = 764.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.