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Finding the Third Proportional to 120 and 261.94

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Solution

The third proportional to 120 and 261.94 is: 571.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120 : 261.94 = 261.94 : x
  2. Step 2: Convert to fraction form
    120/261.94 = 261.94/x
  3. Step 3: Cross multiply
    120x = 261.94 × 261.94
  4. Step 4: Simplify right side
    120x = 68,611.25
  5. Step 5: Solve for x
    x = 68,611.25/120
  6. Step 6: Final answer
    x = 571.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.