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Finding the Third Proportional to 84,934 and 184,636

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Solution

The third proportional to 84,934 and 184,636 is: 401,375.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,934 : 184,636 = 184,636 : x
  2. Step 2: Convert to fraction form
    84,934/184,636 = 184,636/x
  3. Step 3: Cross multiply
    84,934x = 184,636 × 184,636
  4. Step 4: Simplify right side
    84,934x = 34,090,452,496
  5. Step 5: Solve for x
    x = 34,090,452,496/84,934
  6. Step 6: Final answer
    x = 401,375.80

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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.