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Finding the Third Proportional to 248,765.06 and 394,540.31

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Solution

The third proportional to 248,765.06 and 394,540.31 is: 625,739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,765.06 : 394,540.31 = 394,540.31 : x
  2. Step 2: Convert to fraction form
    248,765.06/394,540.31 = 394,540.31/x
  3. Step 3: Cross multiply
    248,765.06x = 394,540.31 × 394,540.31
  4. Step 4: Simplify right side
    248,765.06x = 155,662,058,187.60
  5. Step 5: Solve for x
    x = 155,662,058,187.60/248,765.06
  6. Step 6: Final answer
    x = 625,739.23

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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.