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Finding the Third Proportional to 159.52 and 350.37

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Solution

The third proportional to 159.52 and 350.37 is: 769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.52 : 350.37 = 350.37 : x
  2. Step 2: Convert to fraction form
    159.52/350.37 = 350.37/x
  3. Step 3: Cross multiply
    159.52x = 350.37 × 350.37
  4. Step 4: Simplify right side
    159.52x = 122,757.17
  5. Step 5: Solve for x
    x = 122,757.17/159.52
  6. Step 6: Final answer
    x = 769.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.