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Finding the Third Proportional to 262.27 and 541.41

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Solution

The third proportional to 262.27 and 541.41 is: 1,117.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.27 : 541.41 = 541.41 : x
  2. Step 2: Convert to fraction form
    262.27/541.41 = 541.41/x
  3. Step 3: Cross multiply
    262.27x = 541.41 × 541.41
  4. Step 4: Simplify right side
    262.27x = 293,120.73
  5. Step 5: Solve for x
    x = 293,120.73/262.27
  6. Step 6: Final answer
    x = 1,117.65

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.