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Finding the Third Proportional to 179,204 and 259,050

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Solution

The third proportional to 179,204 and 259,050 is: 374,472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,204 : 259,050 = 259,050 : x
  2. Step 2: Convert to fraction form
    179,204/259,050 = 259,050/x
  3. Step 3: Cross multiply
    179,204x = 259,050 × 259,050
  4. Step 4: Simplify right side
    179,204x = 67,106,902,500
  5. Step 5: Solve for x
    x = 67,106,902,500/179,204
  6. Step 6: Final answer
    x = 374,472.12

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.