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Finding the Third Proportional to 248,566.22 and 394,221.94

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Solution

The third proportional to 248,566.22 and 394,221.94 is: 625,229.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,566.22 : 394,221.94 = 394,221.94 : x
  2. Step 2: Convert to fraction form
    248,566.22/394,221.94 = 394,221.94/x
  3. Step 3: Cross multiply
    248,566.22x = 394,221.94 × 394,221.94
  4. Step 4: Simplify right side
    248,566.22x = 155,410,936,006.25
  5. Step 5: Solve for x
    x = 155,410,936,006.25/248,566.22
  6. Step 6: Final answer
    x = 625,229.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.