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Finding the Third Proportional to 186,307 and 398,857

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Solution

The third proportional to 186,307 and 398,857 is: 853,896.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,307 : 398,857 = 398,857 : x
  2. Step 2: Convert to fraction form
    186,307/398,857 = 398,857/x
  3. Step 3: Cross multiply
    186,307x = 398,857 × 398,857
  4. Step 4: Simplify right side
    186,307x = 159,086,906,449
  5. Step 5: Solve for x
    x = 159,086,906,449/186,307
  6. Step 6: Final answer
    x = 853,896.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.