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Finding the Third Proportional to 165.97 and 350.92

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Solution

The third proportional to 165.97 and 350.92 is: 741.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.97 : 350.92 = 350.92 : x
  2. Step 2: Convert to fraction form
    165.97/350.92 = 350.92/x
  3. Step 3: Cross multiply
    165.97x = 350.92 × 350.92
  4. Step 4: Simplify right side
    165.97x = 123,146.16
  5. Step 5: Solve for x
    x = 123,146.16/165.97
  6. Step 6: Final answer
    x = 741.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.