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Finding the Third Proportional to 267.23 and 574.36

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Solution

The third proportional to 267.23 and 574.36 is: 1,234.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.23 : 574.36 = 574.36 : x
  2. Step 2: Convert to fraction form
    267.23/574.36 = 574.36/x
  3. Step 3: Cross multiply
    267.23x = 574.36 × 574.36
  4. Step 4: Simplify right side
    267.23x = 329,888.69
  5. Step 5: Solve for x
    x = 329,888.69/267.23
  6. Step 6: Final answer
    x = 1,234.45

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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.