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Finding the Third Proportional to 169,161 and 367,479

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Solution

The third proportional to 169,161 and 367,479 is: 798,297.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,161 : 367,479 = 367,479 : x
  2. Step 2: Convert to fraction form
    169,161/367,479 = 367,479/x
  3. Step 3: Cross multiply
    169,161x = 367,479 × 367,479
  4. Step 4: Simplify right side
    169,161x = 135,040,815,441
  5. Step 5: Solve for x
    x = 135,040,815,441/169,161
  6. Step 6: Final answer
    x = 798,297.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.