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Finding the Third Proportional to 241.52 and 276.96

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Solution

The third proportional to 241.52 and 276.96 is: 317.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.52 : 276.96 = 276.96 : x
  2. Step 2: Convert to fraction form
    241.52/276.96 = 276.96/x
  3. Step 3: Cross multiply
    241.52x = 276.96 × 276.96
  4. Step 4: Simplify right side
    241.52x = 76,707.36
  5. Step 5: Solve for x
    x = 76,707.36/241.52
  6. Step 6: Final answer
    x = 317.60

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.