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Finding the Third Proportional to 205.03 and 427.78

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Solution

The third proportional to 205.03 and 427.78 is: 892.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.03 : 427.78 = 427.78 : x
  2. Step 2: Convert to fraction form
    205.03/427.78 = 427.78/x
  3. Step 3: Cross multiply
    205.03x = 427.78 × 427.78
  4. Step 4: Simplify right side
    205.03x = 182,996.80
  5. Step 5: Solve for x
    x = 182,996.80/205.03
  6. Step 6: Final answer
    x = 892.53

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.