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Finding the Third Proportional to 179,027 and 389,675

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Solution

The third proportional to 179,027 and 389,675 is: 848,177.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,027 : 389,675 = 389,675 : x
  2. Step 2: Convert to fraction form
    179,027/389,675 = 389,675/x
  3. Step 3: Cross multiply
    179,027x = 389,675 × 389,675
  4. Step 4: Simplify right side
    179,027x = 151,846,605,625
  5. Step 5: Solve for x
    x = 151,846,605,625/179,027
  6. Step 6: Final answer
    x = 848,177.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.