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Finding the Third Proportional to 157.50 and 244.48

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Solution

The third proportional to 157.50 and 244.48 is: 379.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.50 : 244.48 = 244.48 : x
  2. Step 2: Convert to fraction form
    157.50/244.48 = 244.48/x
  3. Step 3: Cross multiply
    157.50x = 244.48 × 244.48
  4. Step 4: Simplify right side
    157.50x = 59,768.79
  5. Step 5: Solve for x
    x = 59,768.79/157.50
  6. Step 6: Final answer
    x = 379.48

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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.