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Finding the Third Proportional to 134.25 and 280.88

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Solution

The third proportional to 134.25 and 280.88 is: 587.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.25 : 280.88 = 280.88 : x
  2. Step 2: Convert to fraction form
    134.25/280.88 = 280.88/x
  3. Step 3: Cross multiply
    134.25x = 280.88 × 280.88
  4. Step 4: Simplify right side
    134.25x = 78,890.77
  5. Step 5: Solve for x
    x = 78,890.77/134.25
  6. Step 6: Final answer
    x = 587.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.