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Finding the Third Proportional to 120 and 303.75

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Solution

The third proportional to 120 and 303.75 is: 768.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120 : 303.75 = 303.75 : x
  2. Step 2: Convert to fraction form
    120/303.75 = 303.75/x
  3. Step 3: Cross multiply
    120x = 303.75 × 303.75
  4. Step 4: Simplify right side
    120x = 92,264.06
  5. Step 5: Solve for x
    x = 92,264.06/120
  6. Step 6: Final answer
    x = 768.87

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.