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Finding the Third Proportional to 157.97 and 235.73

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Solution

The third proportional to 157.97 and 235.73 is: 351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.97 : 235.73 = 235.73 : x
  2. Step 2: Convert to fraction form
    157.97/235.73 = 235.73/x
  3. Step 3: Cross multiply
    157.97x = 235.73 × 235.73
  4. Step 4: Simplify right side
    157.97x = 55,570.70
  5. Step 5: Solve for x
    x = 55,570.70/157.97
  6. Step 6: Final answer
    x = 351.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.