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Finding the Third Proportional to 83,770 and 182,336

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Solution

The third proportional to 83,770 and 182,336 is: 396,877.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,770 : 182,336 = 182,336 : x
  2. Step 2: Convert to fraction form
    83,770/182,336 = 182,336/x
  3. Step 3: Cross multiply
    83,770x = 182,336 × 182,336
  4. Step 4: Simplify right side
    83,770x = 33,246,416,896
  5. Step 5: Solve for x
    x = 33,246,416,896/83,770
  6. Step 6: Final answer
    x = 396,877.37

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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.