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Finding the Third Proportional to 83,326 and 181,894

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Solution

The third proportional to 83,326 and 181,894 is: 397,060.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,326 : 181,894 = 181,894 : x
  2. Step 2: Convert to fraction form
    83,326/181,894 = 181,894/x
  3. Step 3: Cross multiply
    83,326x = 181,894 × 181,894
  4. Step 4: Simplify right side
    83,326x = 33,085,427,236
  5. Step 5: Solve for x
    x = 33,085,427,236/83,326
  6. Step 6: Final answer
    x = 397,060.07

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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.