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Finding the Third Proportional to 184,857.19 and 397,735.31

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Solution

The third proportional to 184,857.19 and 397,735.31 is: 855,759.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,857.19 : 397,735.31 = 397,735.31 : x
  2. Step 2: Convert to fraction form
    184,857.19/397,735.31 = 397,735.31/x
  3. Step 3: Cross multiply
    184,857.19x = 397,735.31 × 397,735.31
  4. Step 4: Simplify right side
    184,857.19x = 158,193,378,809.47
  5. Step 5: Solve for x
    x = 158,193,378,809.47/184,857.19
  6. Step 6: Final answer
    x = 855,759.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.