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Finding the Third Proportional to 155,997 and 336,903

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Solution

The third proportional to 155,997 and 336,903 is: 727,601.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,997 : 336,903 = 336,903 : x
  2. Step 2: Convert to fraction form
    155,997/336,903 = 336,903/x
  3. Step 3: Cross multiply
    155,997x = 336,903 × 336,903
  4. Step 4: Simplify right side
    155,997x = 113,503,631,409
  5. Step 5: Solve for x
    x = 113,503,631,409/155,997
  6. Step 6: Final answer
    x = 727,601.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.