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Finding the Third Proportional to 180,944 and 396,912

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Solution

The third proportional to 180,944 and 396,912 is: 870,651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,944 : 396,912 = 396,912 : x
  2. Step 2: Convert to fraction form
    180,944/396,912 = 396,912/x
  3. Step 3: Cross multiply
    180,944x = 396,912 × 396,912
  4. Step 4: Simplify right side
    180,944x = 157,539,135,744
  5. Step 5: Solve for x
    x = 157,539,135,744/180,944
  6. Step 6: Final answer
    x = 870,651.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.