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Finding the Third Proportional to 74.25 and 159.38

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Solution

The third proportional to 74.25 and 159.38 is: 342.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.25 : 159.38 = 159.38 : x
  2. Step 2: Convert to fraction form
    74.25/159.38 = 159.38/x
  3. Step 3: Cross multiply
    74.25x = 159.38 × 159.38
  4. Step 4: Simplify right side
    74.25x = 25,400.39
  5. Step 5: Solve for x
    x = 25,400.39/74.25
  6. Step 6: Final answer
    x = 342.09

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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.