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Finding the Third Proportional to 196,938 and 401,105

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Solution

The third proportional to 196,938 and 401,105 is: 816,933.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,938 : 401,105 = 401,105 : x
  2. Step 2: Convert to fraction form
    196,938/401,105 = 401,105/x
  3. Step 3: Cross multiply
    196,938x = 401,105 × 401,105
  4. Step 4: Simplify right side
    196,938x = 160,885,221,025
  5. Step 5: Solve for x
    x = 160,885,221,025/196,938
  6. Step 6: Final answer
    x = 816,933.35

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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.