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Finding the Third Proportional to 84,950 and 184,668

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Solution

The third proportional to 84,950 and 184,668 is: 401,439.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,950 : 184,668 = 184,668 : x
  2. Step 2: Convert to fraction form
    84,950/184,668 = 184,668/x
  3. Step 3: Cross multiply
    84,950x = 184,668 × 184,668
  4. Step 4: Simplify right side
    84,950x = 34,102,270,224
  5. Step 5: Solve for x
    x = 34,102,270,224/84,950
  6. Step 6: Final answer
    x = 401,439.32

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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.