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Finding the Third Proportional to 205 and 401

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Solution

The third proportional to 205 and 401 is: 784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205 : 401 = 401 : x
  2. Step 2: Convert to fraction form
    205/401 = 401/x
  3. Step 3: Cross multiply
    205x = 401 × 401
  4. Step 4: Simplify right side
    205x = 160,801
  5. Step 5: Solve for x
    x = 160,801/205
  6. Step 6: Final answer
    x = 784.40

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.