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Finding the Third Proportional to 84,392 and 184,336

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Solution

The third proportional to 84,392 and 184,336 is: 402,641.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,392 : 184,336 = 184,336 : x
  2. Step 2: Convert to fraction form
    84,392/184,336 = 184,336/x
  3. Step 3: Cross multiply
    84,392x = 184,336 × 184,336
  4. Step 4: Simplify right side
    84,392x = 33,979,760,896
  5. Step 5: Solve for x
    x = 33,979,760,896/84,392
  6. Step 6: Final answer
    x = 402,641.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.