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Finding the Third Proportional to 275.44 and 426.84

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Solution

The third proportional to 275.44 and 426.84 is: 661.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.44 : 426.84 = 426.84 : x
  2. Step 2: Convert to fraction form
    275.44/426.84 = 426.84/x
  3. Step 3: Cross multiply
    275.44x = 426.84 × 426.84
  4. Step 4: Simplify right side
    275.44x = 182,195.59
  5. Step 5: Solve for x
    x = 182,195.59/275.44
  6. Step 6: Final answer
    x = 661.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.