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Finding the Third Proportional to 84,846 and 184,438

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Solution

The third proportional to 84,846 and 184,438 is: 400,930.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,846 : 184,438 = 184,438 : x
  2. Step 2: Convert to fraction form
    84,846/184,438 = 184,438/x
  3. Step 3: Cross multiply
    84,846x = 184,438 × 184,438
  4. Step 4: Simplify right side
    84,846x = 34,017,375,844
  5. Step 5: Solve for x
    x = 34,017,375,844/84,846
  6. Step 6: Final answer
    x = 400,930.81

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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.