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Finding the Third Proportional to 186,794 and 280,231

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Solution

The third proportional to 186,794 and 280,231 is: 420,406.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,794 : 280,231 = 280,231 : x
  2. Step 2: Convert to fraction form
    186,794/280,231 = 280,231/x
  3. Step 3: Cross multiply
    186,794x = 280,231 × 280,231
  4. Step 4: Simplify right side
    186,794x = 78,529,413,361
  5. Step 5: Solve for x
    x = 78,529,413,361/186,794
  6. Step 6: Final answer
    x = 420,406.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.