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Finding the Third Proportional to 197.50 and 234.50

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Solution

The third proportional to 197.50 and 234.50 is: 278.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.50 : 234.50 = 234.50 : x
  2. Step 2: Convert to fraction form
    197.50/234.50 = 234.50/x
  3. Step 3: Cross multiply
    197.50x = 234.50 × 234.50
  4. Step 4: Simplify right side
    197.50x = 54,990.25
  5. Step 5: Solve for x
    x = 54,990.25/197.50
  6. Step 6: Final answer
    x = 278.43

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.