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Finding the Third Proportional to 196,856.25 and 406,836

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Solution

The third proportional to 196,856.25 and 406,836 is: 840,793.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,856.25 : 406,836 = 406,836 : x
  2. Step 2: Convert to fraction form
    196,856.25/406,836 = 406,836/x
  3. Step 3: Cross multiply
    196,856.25x = 406,836 × 406,836
  4. Step 4: Simplify right side
    196,856.25x = 165,515,530,896
  5. Step 5: Solve for x
    x = 165,515,530,896/196,856.25
  6. Step 6: Final answer
    x = 840,793.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.