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Finding the Third Proportional to 205.03 and 400.78

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Solution

The third proportional to 205.03 and 400.78 is: 783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.03 : 400.78 = 400.78 : x
  2. Step 2: Convert to fraction form
    205.03/400.78 = 400.78/x
  3. Step 3: Cross multiply
    205.03x = 400.78 × 400.78
  4. Step 4: Simplify right side
    205.03x = 160,625.61
  5. Step 5: Solve for x
    x = 160,625.61/205.03
  6. Step 6: Final answer
    x = 783.42

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.