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Finding the Third Proportional to 226.13 and 266.48

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Solution

The third proportional to 226.13 and 266.48 is: 314.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.13 : 266.48 = 266.48 : x
  2. Step 2: Convert to fraction form
    226.13/266.48 = 266.48/x
  3. Step 3: Cross multiply
    226.13x = 266.48 × 266.48
  4. Step 4: Simplify right side
    226.13x = 71,013.92
  5. Step 5: Solve for x
    x = 71,013.92/226.13
  6. Step 6: Final answer
    x = 314.05

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.