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Finding the Third Proportional to 159.69 and 296.97

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Solution

The third proportional to 159.69 and 296.97 is: 552.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.69 : 296.97 = 296.97 : x
  2. Step 2: Convert to fraction form
    159.69/296.97 = 296.97/x
  3. Step 3: Cross multiply
    159.69x = 296.97 × 296.97
  4. Step 4: Simplify right side
    159.69x = 88,190.44
  5. Step 5: Solve for x
    x = 88,190.44/159.69
  6. Step 6: Final answer
    x = 552.27

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.