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Finding the Third Proportional to 167,579 and 365,269

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Solution

The third proportional to 167,579 and 365,269 is: 796,170.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,579 : 365,269 = 365,269 : x
  2. Step 2: Convert to fraction form
    167,579/365,269 = 365,269/x
  3. Step 3: Cross multiply
    167,579x = 365,269 × 365,269
  4. Step 4: Simplify right side
    167,579x = 133,421,442,361
  5. Step 5: Solve for x
    x = 133,421,442,361/167,579
  6. Step 6: Final answer
    x = 796,170.42

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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.