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Finding the Third Proportional to 227.81 and 486.95

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Solution

The third proportional to 227.81 and 486.95 is: 1,040.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.81 : 486.95 = 486.95 : x
  2. Step 2: Convert to fraction form
    227.81/486.95 = 486.95/x
  3. Step 3: Cross multiply
    227.81x = 486.95 × 486.95
  4. Step 4: Simplify right side
    227.81x = 237,119.54
  5. Step 5: Solve for x
    x = 237,119.54/227.81
  6. Step 6: Final answer
    x = 1,040.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.