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Finding the Third Proportional to 84,899 and 182,326

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Solution

The third proportional to 84,899 and 182,326 is: 391,556.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,899 : 182,326 = 182,326 : x
  2. Step 2: Convert to fraction form
    84,899/182,326 = 182,326/x
  3. Step 3: Cross multiply
    84,899x = 182,326 × 182,326
  4. Step 4: Simplify right side
    84,899x = 33,242,770,276
  5. Step 5: Solve for x
    x = 33,242,770,276/84,899
  6. Step 6: Final answer
    x = 391,556.68

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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.