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Finding the Third Proportional to 151,837 and 333,198

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Solution

The third proportional to 151,837 and 333,198 is: 731,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,837 : 333,198 = 333,198 : x
  2. Step 2: Convert to fraction form
    151,837/333,198 = 333,198/x
  3. Step 3: Cross multiply
    151,837x = 333,198 × 333,198
  4. Step 4: Simplify right side
    151,837x = 111,020,907,204
  5. Step 5: Solve for x
    x = 111,020,907,204/151,837
  6. Step 6: Final answer
    x = 731,184.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.