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Finding the Third Proportional to 184,725 and 397,936.25

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Solution

The third proportional to 184,725 and 397,936.25 is: 857,237.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,725 : 397,936.25 = 397,936.25 : x
  2. Step 2: Convert to fraction form
    184,725/397,936.25 = 397,936.25/x
  3. Step 3: Cross multiply
    184,725x = 397,936.25 × 397,936.25
  4. Step 4: Simplify right side
    184,725x = 158,353,259,064.06
  5. Step 5: Solve for x
    x = 158,353,259,064.06/184,725
  6. Step 6: Final answer
    x = 857,237.83

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Why These Related Problems?

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