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Finding the Third Proportional to 84,694 and 184,151

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Solution

The third proportional to 84,694 and 184,151 is: 400,401.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,694 : 184,151 = 184,151 : x
  2. Step 2: Convert to fraction form
    84,694/184,151 = 184,151/x
  3. Step 3: Cross multiply
    84,694x = 184,151 × 184,151
  4. Step 4: Simplify right side
    84,694x = 33,911,590,801
  5. Step 5: Solve for x
    x = 33,911,590,801/84,694
  6. Step 6: Final answer
    x = 400,401.34

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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.