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Finding the Third Proportional to 84,738 and 184,546

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Solution

The third proportional to 84,738 and 184,546 is: 401,912.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,738 : 184,546 = 184,546 : x
  2. Step 2: Convert to fraction form
    84,738/184,546 = 184,546/x
  3. Step 3: Cross multiply
    84,738x = 184,546 × 184,546
  4. Step 4: Simplify right side
    84,738x = 34,057,226,116
  5. Step 5: Solve for x
    x = 34,057,226,116/84,738
  6. Step 6: Final answer
    x = 401,912.08

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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.