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Finding the Third Proportional to 179,974 and 387,596

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Solution

The third proportional to 179,974 and 387,596 is: 834,735.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,974 : 387,596 = 387,596 : x
  2. Step 2: Convert to fraction form
    179,974/387,596 = 387,596/x
  3. Step 3: Cross multiply
    179,974x = 387,596 × 387,596
  4. Step 4: Simplify right side
    179,974x = 150,230,659,216
  5. Step 5: Solve for x
    x = 150,230,659,216/179,974
  6. Step 6: Final answer
    x = 834,735.35

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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.