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Finding the Third Proportional to 186,541 and 399,698

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Solution

The third proportional to 186,541 and 399,698 is: 856,425.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,541 : 399,698 = 399,698 : x
  2. Step 2: Convert to fraction form
    186,541/399,698 = 399,698/x
  3. Step 3: Cross multiply
    186,541x = 399,698 × 399,698
  4. Step 4: Simplify right side
    186,541x = 159,758,491,204
  5. Step 5: Solve for x
    x = 159,758,491,204/186,541
  6. Step 6: Final answer
    x = 856,425.62

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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.