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Finding the Third Proportional to 120.50 and 225.75

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Solution

The third proportional to 120.50 and 225.75 is: 422.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.50 : 225.75 = 225.75 : x
  2. Step 2: Convert to fraction form
    120.50/225.75 = 225.75/x
  3. Step 3: Cross multiply
    120.50x = 225.75 × 225.75
  4. Step 4: Simplify right side
    120.50x = 50,963.06
  5. Step 5: Solve for x
    x = 50,963.06/120.50
  6. Step 6: Final answer
    x = 422.93

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.