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Finding the Third Proportional to 184,266 and 387,099

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Solution

The third proportional to 184,266 and 387,099 is: 813,202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,266 : 387,099 = 387,099 : x
  2. Step 2: Convert to fraction form
    184,266/387,099 = 387,099/x
  3. Step 3: Cross multiply
    184,266x = 387,099 × 387,099
  4. Step 4: Simplify right side
    184,266x = 149,845,635,801
  5. Step 5: Solve for x
    x = 149,845,635,801/184,266
  6. Step 6: Final answer
    x = 813,202.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.