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Finding the Third Proportional to 157.50 and 243.94

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Solution

The third proportional to 157.50 and 243.94 is: 377.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.50 : 243.94 = 243.94 : x
  2. Step 2: Convert to fraction form
    157.50/243.94 = 243.94/x
  3. Step 3: Cross multiply
    157.50x = 243.94 × 243.94
  4. Step 4: Simplify right side
    157.50x = 59,505.50
  5. Step 5: Solve for x
    x = 59,505.50/157.50
  6. Step 6: Final answer
    x = 377.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.