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Finding the Third Proportional to 84,800 and 184,990

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Solution

The third proportional to 84,800 and 184,990 is: 403,553.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,800 : 184,990 = 184,990 : x
  2. Step 2: Convert to fraction form
    84,800/184,990 = 184,990/x
  3. Step 3: Cross multiply
    84,800x = 184,990 × 184,990
  4. Step 4: Simplify right side
    84,800x = 34,221,300,100
  5. Step 5: Solve for x
    x = 34,221,300,100/84,800
  6. Step 6: Final answer
    x = 403,553.07

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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.