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Finding the Third Proportional to 179,847 and 364,736.25

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Solution

The third proportional to 179,847 and 364,736.25 is: 739,698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,847 : 364,736.25 = 364,736.25 : x
  2. Step 2: Convert to fraction form
    179,847/364,736.25 = 364,736.25/x
  3. Step 3: Cross multiply
    179,847x = 364,736.25 × 364,736.25
  4. Step 4: Simplify right side
    179,847x = 133,032,532,064.06
  5. Step 5: Solve for x
    x = 133,032,532,064.06/179,847
  6. Step 6: Final answer
    x = 739,698.37

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.