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Finding the Third Proportional to 73,198 and 159,824

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Solution

The third proportional to 73,198 and 159,824 is: 348,967.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,198 : 159,824 = 159,824 : x
  2. Step 2: Convert to fraction form
    73,198/159,824 = 159,824/x
  3. Step 3: Cross multiply
    73,198x = 159,824 × 159,824
  4. Step 4: Simplify right side
    73,198x = 25,543,710,976
  5. Step 5: Solve for x
    x = 25,543,710,976/73,198
  6. Step 6: Final answer
    x = 348,967.33

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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.