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Finding the Third Proportional to 84,823 and 184,401

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Solution

The third proportional to 84,823 and 184,401 is: 400,878.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,823 : 184,401 = 184,401 : x
  2. Step 2: Convert to fraction form
    84,823/184,401 = 184,401/x
  3. Step 3: Cross multiply
    84,823x = 184,401 × 184,401
  4. Step 4: Simplify right side
    84,823x = 34,003,728,801
  5. Step 5: Solve for x
    x = 34,003,728,801/84,823
  6. Step 6: Final answer
    x = 400,878.64

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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.