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Finding the Third Proportional to 195,559.69 and 412,136.44

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Solution

The third proportional to 195,559.69 and 412,136.44 is: 868,565.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,559.69 : 412,136.44 = 412,136.44 : x
  2. Step 2: Convert to fraction form
    195,559.69/412,136.44 = 412,136.44/x
  3. Step 3: Cross multiply
    195,559.69x = 412,136.44 × 412,136.44
  4. Step 4: Simplify right side
    195,559.69x = 169,856,443,115.19
  5. Step 5: Solve for x
    x = 169,856,443,115.19/195,559.69
  6. Step 6: Final answer
    x = 868,565.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.