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Finding the Third Proportional to 196,936 and 401,101

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Solution

The third proportional to 196,936 and 401,101 is: 816,925.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,936 : 401,101 = 401,101 : x
  2. Step 2: Convert to fraction form
    196,936/401,101 = 401,101/x
  3. Step 3: Cross multiply
    196,936x = 401,101 × 401,101
  4. Step 4: Simplify right side
    196,936x = 160,882,012,201
  5. Step 5: Solve for x
    x = 160,882,012,201/196,936
  6. Step 6: Final answer
    x = 816,925.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.