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Finding the Third Proportional to 205.03 and 550.55

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Solution

The third proportional to 205.03 and 550.55 is: 1,478.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.03 : 550.55 = 550.55 : x
  2. Step 2: Convert to fraction form
    205.03/550.55 = 550.55/x
  3. Step 3: Cross multiply
    205.03x = 550.55 × 550.55
  4. Step 4: Simplify right side
    205.03x = 303,101.86
  5. Step 5: Solve for x
    x = 303,101.86/205.03
  6. Step 6: Final answer
    x = 1,478.32

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.