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Finding the Third Proportional to 226 and 494.25

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Solution

The third proportional to 226 and 494.25 is: 1,080.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    226 : 494.25 = 494.25 : x
  2. Step 2: Convert to fraction form
    226/494.25 = 494.25/x
  3. Step 3: Cross multiply
    226x = 494.25 × 494.25
  4. Step 4: Simplify right side
    226x = 244,283.06
  5. Step 5: Solve for x
    x = 244,283.06/226
  6. Step 6: Final answer
    x = 1,080.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.