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Finding the Third Proportional to 204.19 and 397.83

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Solution

The third proportional to 204.19 and 397.83 is: 775.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.19 : 397.83 = 397.83 : x
  2. Step 2: Convert to fraction form
    204.19/397.83 = 397.83/x
  3. Step 3: Cross multiply
    204.19x = 397.83 × 397.83
  4. Step 4: Simplify right side
    204.19x = 158,267.22
  5. Step 5: Solve for x
    x = 158,267.22/204.19
  6. Step 6: Final answer
    x = 775.11

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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.