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Finding the Third Proportional to 120.75 and 268.25

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Solution

The third proportional to 120.75 and 268.25 is: 595.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.75 : 268.25 = 268.25 : x
  2. Step 2: Convert to fraction form
    120.75/268.25 = 268.25/x
  3. Step 3: Cross multiply
    120.75x = 268.25 × 268.25
  4. Step 4: Simplify right side
    120.75x = 71,958.06
  5. Step 5: Solve for x
    x = 71,958.06/120.75
  6. Step 6: Final answer
    x = 595.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.