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Finding the Third Proportional to 84,400 and 184,904

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Solution

The third proportional to 84,400 and 184,904 is: 405,088.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,400 : 184,904 = 184,904 : x
  2. Step 2: Convert to fraction form
    84,400/184,904 = 184,904/x
  3. Step 3: Cross multiply
    84,400x = 184,904 × 184,904
  4. Step 4: Simplify right side
    84,400x = 34,189,489,216
  5. Step 5: Solve for x
    x = 34,189,489,216/84,400
  6. Step 6: Final answer
    x = 405,088.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.