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Finding the Third Proportional to 84,815 and 184,384

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Solution

The third proportional to 84,815 and 184,384 is: 400,842.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,815 : 184,384 = 184,384 : x
  2. Step 2: Convert to fraction form
    84,815/184,384 = 184,384/x
  3. Step 3: Cross multiply
    84,815x = 184,384 × 184,384
  4. Step 4: Simplify right side
    84,815x = 33,997,459,456
  5. Step 5: Solve for x
    x = 33,997,459,456/84,815
  6. Step 6: Final answer
    x = 400,842.53

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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.