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Finding the Third Proportional to 179,019 and 394,029

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Solution

The third proportional to 179,019 and 394,029 is: 867,275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,019 : 394,029 = 394,029 : x
  2. Step 2: Convert to fraction form
    179,019/394,029 = 394,029/x
  3. Step 3: Cross multiply
    179,019x = 394,029 × 394,029
  4. Step 4: Simplify right side
    179,019x = 155,258,852,841
  5. Step 5: Solve for x
    x = 155,258,852,841/179,019
  6. Step 6: Final answer
    x = 867,275.84

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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.