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Finding the Third Proportional to 84,797 and 184,357

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Solution

The third proportional to 84,797 and 184,357 is: 400,810.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,797 : 184,357 = 184,357 : x
  2. Step 2: Convert to fraction form
    84,797/184,357 = 184,357/x
  3. Step 3: Cross multiply
    84,797x = 184,357 × 184,357
  4. Step 4: Simplify right side
    84,797x = 33,987,503,449
  5. Step 5: Solve for x
    x = 33,987,503,449/84,797
  6. Step 6: Final answer
    x = 400,810.21

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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.