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Finding the Third Proportional to 226.27 and 497.95

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Solution

The third proportional to 226.27 and 497.95 is: 1,095.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.27 : 497.95 = 497.95 : x
  2. Step 2: Convert to fraction form
    226.27/497.95 = 497.95/x
  3. Step 3: Cross multiply
    226.27x = 497.95 × 497.95
  4. Step 4: Simplify right side
    226.27x = 247,957.31
  5. Step 5: Solve for x
    x = 247,957.31/226.27
  6. Step 6: Final answer
    x = 1,095.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.