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Finding the Third Proportional to 84,883 and 184,526

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Solution

The third proportional to 84,883 and 184,526 is: 401,138.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,883 : 184,526 = 184,526 : x
  2. Step 2: Convert to fraction form
    84,883/184,526 = 184,526/x
  3. Step 3: Cross multiply
    84,883x = 184,526 × 184,526
  4. Step 4: Simplify right side
    84,883x = 34,049,844,676
  5. Step 5: Solve for x
    x = 34,049,844,676/84,883
  6. Step 6: Final answer
    x = 401,138.56

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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.