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Finding the Third Proportional to 84,213 and 184,266

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Solution

The third proportional to 84,213 and 184,266 is: 403,191.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,213 : 184,266 = 184,266 : x
  2. Step 2: Convert to fraction form
    84,213/184,266 = 184,266/x
  3. Step 3: Cross multiply
    84,213x = 184,266 × 184,266
  4. Step 4: Simplify right side
    84,213x = 33,953,958,756
  5. Step 5: Solve for x
    x = 33,953,958,756/84,213
  6. Step 6: Final answer
    x = 403,191.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.