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Finding the Third Proportional to 226.76 and 491.48

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Solution

The third proportional to 226.76 and 491.48 is: 1,065.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.76 : 491.48 = 491.48 : x
  2. Step 2: Convert to fraction form
    226.76/491.48 = 491.48/x
  3. Step 3: Cross multiply
    226.76x = 491.48 × 491.48
  4. Step 4: Simplify right side
    226.76x = 241,556.89
  5. Step 5: Solve for x
    x = 241,556.89/226.76
  6. Step 6: Final answer
    x = 1,065.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.