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Finding the Third Proportional to 131.25 and 280.75

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Solution

The third proportional to 131.25 and 280.75 is: 600.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.25 : 280.75 = 280.75 : x
  2. Step 2: Convert to fraction form
    131.25/280.75 = 280.75/x
  3. Step 3: Cross multiply
    131.25x = 280.75 × 280.75
  4. Step 4: Simplify right side
    131.25x = 78,820.56
  5. Step 5: Solve for x
    x = 78,820.56/131.25
  6. Step 6: Final answer
    x = 600.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.