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Finding the Third Proportional to 84,890 and 182,308

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Solution

The third proportional to 84,890 and 182,308 is: 391,520.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,890 : 182,308 = 182,308 : x
  2. Step 2: Convert to fraction form
    84,890/182,308 = 182,308/x
  3. Step 3: Cross multiply
    84,890x = 182,308 × 182,308
  4. Step 4: Simplify right side
    84,890x = 33,236,206,864
  5. Step 5: Solve for x
    x = 33,236,206,864/84,890
  6. Step 6: Final answer
    x = 391,520.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.