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Finding the Third Proportional to 126.94 and 263.81

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Solution

The third proportional to 126.94 and 263.81 is: 548.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.94 : 263.81 = 263.81 : x
  2. Step 2: Convert to fraction form
    126.94/263.81 = 263.81/x
  3. Step 3: Cross multiply
    126.94x = 263.81 × 263.81
  4. Step 4: Simplify right side
    126.94x = 69,597.04
  5. Step 5: Solve for x
    x = 69,597.04/126.94
  6. Step 6: Final answer
    x = 548.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.