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Finding the Third Proportional to 84,879 and 184,359

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Solution

The third proportional to 84,879 and 184,359 is: 400,431.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,879 : 184,359 = 184,359 : x
  2. Step 2: Convert to fraction form
    84,879/184,359 = 184,359/x
  3. Step 3: Cross multiply
    84,879x = 184,359 × 184,359
  4. Step 4: Simplify right side
    84,879x = 33,988,240,881
  5. Step 5: Solve for x
    x = 33,988,240,881/84,879
  6. Step 6: Final answer
    x = 400,431.68

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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.