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Finding the Third Proportional to 84,462 and 184,044

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Solution

The third proportional to 84,462 and 184,044 is: 401,034.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,462 : 184,044 = 184,044 : x
  2. Step 2: Convert to fraction form
    84,462/184,044 = 184,044/x
  3. Step 3: Cross multiply
    84,462x = 184,044 × 184,044
  4. Step 4: Simplify right side
    84,462x = 33,872,193,936
  5. Step 5: Solve for x
    x = 33,872,193,936/84,462
  6. Step 6: Final answer
    x = 401,034.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.