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Finding the Third Proportional to 186,193.69 and 398,631.38

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Solution

The third proportional to 186,193.69 and 398,631.38 is: 853,449.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,193.69 : 398,631.38 = 398,631.38 : x
  2. Step 2: Convert to fraction form
    186,193.69/398,631.38 = 398,631.38/x
  3. Step 3: Cross multiply
    186,193.69x = 398,631.38 × 398,631.38
  4. Step 4: Simplify right side
    186,193.69x = 158,906,973,134.39
  5. Step 5: Solve for x
    x = 158,906,973,134.39/186,193.69
  6. Step 6: Final answer
    x = 853,449.84

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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.