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Finding the Third Proportional to 167,976 and 369,144

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Solution

The third proportional to 167,976 and 369,144 is: 811,230.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,976 : 369,144 = 369,144 : x
  2. Step 2: Convert to fraction form
    167,976/369,144 = 369,144/x
  3. Step 3: Cross multiply
    167,976x = 369,144 × 369,144
  4. Step 4: Simplify right side
    167,976x = 136,267,292,736
  5. Step 5: Solve for x
    x = 136,267,292,736/167,976
  6. Step 6: Final answer
    x = 811,230.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.