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Finding the Third Proportional to 84,806 and 184,192

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Solution

The third proportional to 84,806 and 184,192 is: 400,050.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,806 : 184,192 = 184,192 : x
  2. Step 2: Convert to fraction form
    84,806/184,192 = 184,192/x
  3. Step 3: Cross multiply
    84,806x = 184,192 × 184,192
  4. Step 4: Simplify right side
    84,806x = 33,926,692,864
  5. Step 5: Solve for x
    x = 33,926,692,864/84,806
  6. Step 6: Final answer
    x = 400,050.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.