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Finding the Third Proportional to 202.19 and 445.44

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Solution

The third proportional to 202.19 and 445.44 is: 981.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.19 : 445.44 = 445.44 : x
  2. Step 2: Convert to fraction form
    202.19/445.44 = 445.44/x
  3. Step 3: Cross multiply
    202.19x = 445.44 × 445.44
  4. Step 4: Simplify right side
    202.19x = 198,414.57
  5. Step 5: Solve for x
    x = 198,414.57/202.19
  6. Step 6: Final answer
    x = 981.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.