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Finding the Third Proportional to 196,497.14 and 400,220.37

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Solution

The third proportional to 196,497.14 and 400,220.37 is: 815,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,497.14 : 400,220.37 = 400,220.37 : x
  2. Step 2: Convert to fraction form
    196,497.14/400,220.37 = 400,220.37/x
  3. Step 3: Cross multiply
    196,497.14x = 400,220.37 × 400,220.37
  4. Step 4: Simplify right side
    196,497.14x = 160,176,342,311.70
  5. Step 5: Solve for x
    x = 160,176,342,311.70/196,497.14
  6. Step 6: Final answer
    x = 815,158.64

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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.