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Finding the Third Proportional to 267.84 and 394.56

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Solution

The third proportional to 267.84 and 394.56 is: 581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.84 : 394.56 = 394.56 : x
  2. Step 2: Convert to fraction form
    267.84/394.56 = 394.56/x
  3. Step 3: Cross multiply
    267.84x = 394.56 × 394.56
  4. Step 4: Simplify right side
    267.84x = 155,676.48
  5. Step 5: Solve for x
    x = 155,676.48/267.84
  6. Step 6: Final answer
    x = 581.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.