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Finding the Third Proportional to 168,811 and 363,622

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Solution

The third proportional to 168,811 and 363,622 is: 783,248.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,811 : 363,622 = 363,622 : x
  2. Step 2: Convert to fraction form
    168,811/363,622 = 363,622/x
  3. Step 3: Cross multiply
    168,811x = 363,622 × 363,622
  4. Step 4: Simplify right side
    168,811x = 132,220,958,884
  5. Step 5: Solve for x
    x = 132,220,958,884/168,811
  6. Step 6: Final answer
    x = 783,248.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.