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Finding the Third Proportional to 196,836.75 and 401,976

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Solution

The third proportional to 196,836.75 and 401,976 is: 820,907.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,836.75 : 401,976 = 401,976 : x
  2. Step 2: Convert to fraction form
    196,836.75/401,976 = 401,976/x
  3. Step 3: Cross multiply
    196,836.75x = 401,976 × 401,976
  4. Step 4: Simplify right side
    196,836.75x = 161,584,704,576
  5. Step 5: Solve for x
    x = 161,584,704,576/196,836.75
  6. Step 6: Final answer
    x = 820,907.20

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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.