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Finding the Third Proportional to 267.75 and 603.88

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Solution

The third proportional to 267.75 and 603.88 is: 1,361.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.75 : 603.88 = 603.88 : x
  2. Step 2: Convert to fraction form
    267.75/603.88 = 603.88/x
  3. Step 3: Cross multiply
    267.75x = 603.88 × 603.88
  4. Step 4: Simplify right side
    267.75x = 364,665.02
  5. Step 5: Solve for x
    x = 364,665.02/267.75
  6. Step 6: Final answer
    x = 1,361.96

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.