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Finding the Third Proportional to 84,729 and 184,215

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Solution

The third proportional to 84,729 and 184,215 is: 400,514.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,729 : 184,215 = 184,215 : x
  2. Step 2: Convert to fraction form
    84,729/184,215 = 184,215/x
  3. Step 3: Cross multiply
    84,729x = 184,215 × 184,215
  4. Step 4: Simplify right side
    84,729x = 33,935,166,225
  5. Step 5: Solve for x
    x = 33,935,166,225/84,729
  6. Step 6: Final answer
    x = 400,514.18

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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.