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Finding the Third Proportional to 105.75 and 279

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Solution

The third proportional to 105.75 and 279 is: 736.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.75 : 279 = 279 : x
  2. Step 2: Convert to fraction form
    105.75/279 = 279/x
  3. Step 3: Cross multiply
    105.75x = 279 × 279
  4. Step 4: Simplify right side
    105.75x = 77,841
  5. Step 5: Solve for x
    x = 77,841/105.75
  6. Step 6: Final answer
    x = 736.09

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Why These Related Problems?

These problems maintain the same ratio (2.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.