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Finding the Third Proportional to 184,721 and 397,692

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Solution

The third proportional to 184,721 and 397,692 is: 856,204.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,721 : 397,692 = 397,692 : x
  2. Step 2: Convert to fraction form
    184,721/397,692 = 397,692/x
  3. Step 3: Cross multiply
    184,721x = 397,692 × 397,692
  4. Step 4: Simplify right side
    184,721x = 158,158,926,864
  5. Step 5: Solve for x
    x = 158,158,926,864/184,721
  6. Step 6: Final answer
    x = 856,204.37

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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.