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Finding the Third Proportional to 84,711 and 184,180

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Solution

The third proportional to 84,711 and 184,180 is: 400,447.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,711 : 184,180 = 184,180 : x
  2. Step 2: Convert to fraction form
    84,711/184,180 = 184,180/x
  3. Step 3: Cross multiply
    84,711x = 184,180 × 184,180
  4. Step 4: Simplify right side
    84,711x = 33,922,272,400
  5. Step 5: Solve for x
    x = 33,922,272,400/84,711
  6. Step 6: Final answer
    x = 400,447.08

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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.