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Finding the Third Proportional to 225.44 and 552.56

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Solution

The third proportional to 225.44 and 552.56 is: 1,354.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.44 : 552.56 = 552.56 : x
  2. Step 2: Convert to fraction form
    225.44/552.56 = 552.56/x
  3. Step 3: Cross multiply
    225.44x = 552.56 × 552.56
  4. Step 4: Simplify right side
    225.44x = 305,325.32
  5. Step 5: Solve for x
    x = 305,325.32/225.44
  6. Step 6: Final answer
    x = 1,354.37

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.