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Finding the Third Proportional to 177.50 and 196.75

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Solution

The third proportional to 177.50 and 196.75 is: 218.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.50 : 196.75 = 196.75 : x
  2. Step 2: Convert to fraction form
    177.50/196.75 = 196.75/x
  3. Step 3: Cross multiply
    177.50x = 196.75 × 196.75
  4. Step 4: Simplify right side
    177.50x = 38,710.56
  5. Step 5: Solve for x
    x = 38,710.56/177.50
  6. Step 6: Final answer
    x = 218.09

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.