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Finding the Third Proportional to 84,634.88 and 184,032

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Solution

The third proportional to 84,634.88 and 184,032 is: 400,163.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,634.88 : 184,032 = 184,032 : x
  2. Step 2: Convert to fraction form
    84,634.88/184,032 = 184,032/x
  3. Step 3: Cross multiply
    84,634.88x = 184,032 × 184,032
  4. Step 4: Simplify right side
    84,634.88x = 33,867,777,024
  5. Step 5: Solve for x
    x = 33,867,777,024/84,634.88
  6. Step 6: Final answer
    x = 400,163.37

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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.