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Finding the Third Proportional to 182,976 and 285,144

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Solution

The third proportional to 182,976 and 285,144 is: 444,359.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,976 : 285,144 = 285,144 : x
  2. Step 2: Convert to fraction form
    182,976/285,144 = 285,144/x
  3. Step 3: Cross multiply
    182,976x = 285,144 × 285,144
  4. Step 4: Simplify right side
    182,976x = 81,307,100,736
  5. Step 5: Solve for x
    x = 81,307,100,736/182,976
  6. Step 6: Final answer
    x = 444,359.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.