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Finding the Third Proportional to 165.88 and 349.94

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Solution

The third proportional to 165.88 and 349.94 is: 738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.88 : 349.94 = 349.94 : x
  2. Step 2: Convert to fraction form
    165.88/349.94 = 349.94/x
  3. Step 3: Cross multiply
    165.88x = 349.94 × 349.94
  4. Step 4: Simplify right side
    165.88x = 122,456.25
  5. Step 5: Solve for x
    x = 122,456.25/165.88
  6. Step 6: Final answer
    x = 738.24

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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.