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Finding the Third Proportional to 241.75 and 260.50

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Solution

The third proportional to 241.75 and 260.50 is: 280.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.75 : 260.50 = 260.50 : x
  2. Step 2: Convert to fraction form
    241.75/260.50 = 260.50/x
  3. Step 3: Cross multiply
    241.75x = 260.50 × 260.50
  4. Step 4: Simplify right side
    241.75x = 67,860.25
  5. Step 5: Solve for x
    x = 67,860.25/241.75
  6. Step 6: Final answer
    x = 280.70

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.