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Finding the Third Proportional to 179,884 and 259,104

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Solution

The third proportional to 179,884 and 259,104 is: 373,212.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,884 : 259,104 = 259,104 : x
  2. Step 2: Convert to fraction form
    179,884/259,104 = 259,104/x
  3. Step 3: Cross multiply
    179,884x = 259,104 × 259,104
  4. Step 4: Simplify right side
    179,884x = 67,134,882,816
  5. Step 5: Solve for x
    x = 67,134,882,816/179,884
  6. Step 6: Final answer
    x = 373,212.09

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.