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Finding the Third Proportional to 225.28 and 491.54

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Solution

The third proportional to 225.28 and 491.54 is: 1,072.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.28 : 491.54 = 491.54 : x
  2. Step 2: Convert to fraction form
    225.28/491.54 = 491.54/x
  3. Step 3: Cross multiply
    225.28x = 491.54 × 491.54
  4. Step 4: Simplify right side
    225.28x = 241,608.73
  5. Step 5: Solve for x
    x = 241,608.73/225.28
  6. Step 6: Final answer
    x = 1,072.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.