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Finding the Third Proportional to 179,040 and 394,062

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Solution

The third proportional to 179,040 and 394,062 is: 867,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,040 : 394,062 = 394,062 : x
  2. Step 2: Convert to fraction form
    179,040/394,062 = 394,062/x
  3. Step 3: Cross multiply
    179,040x = 394,062 × 394,062
  4. Step 4: Simplify right side
    179,040x = 155,284,859,844
  5. Step 5: Solve for x
    x = 155,284,859,844/179,040
  6. Step 6: Final answer
    x = 867,319.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.