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Finding the Third Proportional to 186,756 and 399,756

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Solution

The third proportional to 186,756 and 399,756 is: 855,687.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,756 : 399,756 = 399,756 : x
  2. Step 2: Convert to fraction form
    186,756/399,756 = 399,756/x
  3. Step 3: Cross multiply
    186,756x = 399,756 × 399,756
  4. Step 4: Simplify right side
    186,756x = 159,804,859,536
  5. Step 5: Solve for x
    x = 159,804,859,536/186,756
  6. Step 6: Final answer
    x = 855,687.95

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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.