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Finding the Third Proportional to 201,279.94 and 301,919.91

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Solution

The third proportional to 201,279.94 and 301,919.91 is: 452,879.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,279.94 : 301,919.91 = 301,919.91 : x
  2. Step 2: Convert to fraction form
    201,279.94/301,919.91 = 301,919.91/x
  3. Step 3: Cross multiply
    201,279.94x = 301,919.91 × 301,919.91
  4. Step 4: Simplify right side
    201,279.94x = 91,155,629,790.01
  5. Step 5: Solve for x
    x = 91,155,629,790.01/201,279.94
  6. Step 6: Final answer
    x = 452,879.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.