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Finding the Third Proportional to 262.41 and 553.27

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Solution

The third proportional to 262.41 and 553.27 is: 1,166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.41 : 553.27 = 553.27 : x
  2. Step 2: Convert to fraction form
    262.41/553.27 = 553.27/x
  3. Step 3: Cross multiply
    262.41x = 553.27 × 553.27
  4. Step 4: Simplify right side
    262.41x = 306,102.85
  5. Step 5: Solve for x
    x = 306,102.85/262.41
  6. Step 6: Final answer
    x = 1,166.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.