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Finding the Third Proportional to 196,918.25 and 401,059

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Solution

The third proportional to 196,918.25 and 401,059 is: 816,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,918.25 : 401,059 = 401,059 : x
  2. Step 2: Convert to fraction form
    196,918.25/401,059 = 401,059/x
  3. Step 3: Cross multiply
    196,918.25x = 401,059 × 401,059
  4. Step 4: Simplify right side
    196,918.25x = 160,848,321,481
  5. Step 5: Solve for x
    x = 160,848,321,481/196,918.25
  6. Step 6: Final answer
    x = 816,827.90

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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.