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Finding the Third Proportional to 132.05 and 280.55

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Solution

The third proportional to 132.05 and 280.55 is: 596.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.05 : 280.55 = 280.55 : x
  2. Step 2: Convert to fraction form
    132.05/280.55 = 280.55/x
  3. Step 3: Cross multiply
    132.05x = 280.55 × 280.55
  4. Step 4: Simplify right side
    132.05x = 78,706.55
  5. Step 5: Solve for x
    x = 78,706.55/132.05
  6. Step 6: Final answer
    x = 596.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.