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Finding the Third Proportional to 186,198 and 398,639.25

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Solution

The third proportional to 186,198 and 398,639.25 is: 853,463.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,198 : 398,639.25 = 398,639.25 : x
  2. Step 2: Convert to fraction form
    186,198/398,639.25 = 398,639.25/x
  3. Step 3: Cross multiply
    186,198x = 398,639.25 × 398,639.25
  4. Step 4: Simplify right side
    186,198x = 158,913,251,640.56
  5. Step 5: Solve for x
    x = 158,913,251,640.56/186,198
  6. Step 6: Final answer
    x = 853,463.79

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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.