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Finding the Third Proportional to 186,500 and 399,177

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Solution

The third proportional to 186,500 and 399,177 is: 854,382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,500 : 399,177 = 399,177 : x
  2. Step 2: Convert to fraction form
    186,500/399,177 = 399,177/x
  3. Step 3: Cross multiply
    186,500x = 399,177 × 399,177
  4. Step 4: Simplify right side
    186,500x = 159,342,277,329
  5. Step 5: Solve for x
    x = 159,342,277,329/186,500
  6. Step 6: Final answer
    x = 854,382.18

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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.