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Finding the Third Proportional to 125.94 and 270.44

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Solution

The third proportional to 125.94 and 270.44 is: 580.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.94 : 270.44 = 270.44 : x
  2. Step 2: Convert to fraction form
    125.94/270.44 = 270.44/x
  3. Step 3: Cross multiply
    125.94x = 270.44 × 270.44
  4. Step 4: Simplify right side
    125.94x = 73,136.44
  5. Step 5: Solve for x
    x = 73,136.44/125.94
  6. Step 6: Final answer
    x = 580.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.