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Finding the Third Proportional to 169,914.38 and 396,840.94

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Solution

The third proportional to 169,914.38 and 396,840.94 is: 926,835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,914.38 : 396,840.94 = 396,840.94 : x
  2. Step 2: Convert to fraction form
    169,914.38/396,840.94 = 396,840.94/x
  3. Step 3: Cross multiply
    169,914.38x = 396,840.94 × 396,840.94
  4. Step 4: Simplify right side
    169,914.38x = 157,482,729,675.88
  5. Step 5: Solve for x
    x = 157,482,729,675.88/169,914.38
  6. Step 6: Final answer
    x = 926,835.82

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.