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Finding the Third Proportional to 157.97 and 243.72

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Solution

The third proportional to 157.97 and 243.72 is: 376.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.97 : 243.72 = 243.72 : x
  2. Step 2: Convert to fraction form
    157.97/243.72 = 243.72/x
  3. Step 3: Cross multiply
    157.97x = 243.72 × 243.72
  4. Step 4: Simplify right side
    157.97x = 59,398.83
  5. Step 5: Solve for x
    x = 59,398.83/157.97
  6. Step 6: Final answer
    x = 376.02

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.