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Finding the Third Proportional to 75.50 and 188.75

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Solution

The third proportional to 75.50 and 188.75 is: 471.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.50 : 188.75 = 188.75 : x
  2. Step 2: Convert to fraction form
    75.50/188.75 = 188.75/x
  3. Step 3: Cross multiply
    75.50x = 188.75 × 188.75
  4. Step 4: Simplify right side
    75.50x = 35,626.56
  5. Step 5: Solve for x
    x = 35,626.56/75.50
  6. Step 6: Final answer
    x = 471.88

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Why These Related Problems?

These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.