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Finding the Third Proportional to 77.50 and 190.75

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Solution

The third proportional to 77.50 and 190.75 is: 469.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.50 : 190.75 = 190.75 : x
  2. Step 2: Convert to fraction form
    77.50/190.75 = 190.75/x
  3. Step 3: Cross multiply
    77.50x = 190.75 × 190.75
  4. Step 4: Simplify right side
    77.50x = 36,385.56
  5. Step 5: Solve for x
    x = 36,385.56/77.50
  6. Step 6: Final answer
    x = 469.49

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.