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Finding the Third Proportional to 199,558.69 and 286,879.22

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Solution

The third proportional to 199,558.69 and 286,879.22 is: 412,408.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,558.69 : 286,879.22 = 286,879.22 : x
  2. Step 2: Convert to fraction form
    199,558.69/286,879.22 = 286,879.22/x
  3. Step 3: Cross multiply
    199,558.69x = 286,879.22 × 286,879.22
  4. Step 4: Simplify right side
    199,558.69x = 82,299,686,150.61
  5. Step 5: Solve for x
    x = 82,299,686,150.61/199,558.69
  6. Step 6: Final answer
    x = 412,408.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.