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Finding the Third Proportional to 202.78 and 441.28

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Solution

The third proportional to 202.78 and 441.28 is: 960.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.78 : 441.28 = 441.28 : x
  2. Step 2: Convert to fraction form
    202.78/441.28 = 441.28/x
  3. Step 3: Cross multiply
    202.78x = 441.28 × 441.28
  4. Step 4: Simplify right side
    202.78x = 194,729.14
  5. Step 5: Solve for x
    x = 194,729.14/202.78
  6. Step 6: Final answer
    x = 960.29

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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.