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Finding the Third Proportional to 74.25 and 165.38

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Solution

The third proportional to 74.25 and 165.38 is: 368.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.25 : 165.38 = 165.38 : x
  2. Step 2: Convert to fraction form
    74.25/165.38 = 165.38/x
  3. Step 3: Cross multiply
    74.25x = 165.38 × 165.38
  4. Step 4: Simplify right side
    74.25x = 27,348.89
  5. Step 5: Solve for x
    x = 27,348.89/74.25
  6. Step 6: Final answer
    x = 368.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.