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Finding the Third Proportional to 199,344 and 437,856

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Solution

The third proportional to 199,344 and 437,856 is: 961,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,344 : 437,856 = 437,856 : x
  2. Step 2: Convert to fraction form
    199,344/437,856 = 437,856/x
  3. Step 3: Cross multiply
    199,344x = 437,856 × 437,856
  4. Step 4: Simplify right side
    199,344x = 191,717,876,736
  5. Step 5: Solve for x
    x = 191,717,876,736/199,344
  6. Step 6: Final answer
    x = 961,743.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.