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Finding the Third Proportional to 186,717 and 280,212

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Solution

The third proportional to 186,717 and 280,212 is: 420,522.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,717 : 280,212 = 280,212 : x
  2. Step 2: Convert to fraction form
    186,717/280,212 = 280,212/x
  3. Step 3: Cross multiply
    186,717x = 280,212 × 280,212
  4. Step 4: Simplify right side
    186,717x = 78,518,764,944
  5. Step 5: Solve for x
    x = 78,518,764,944/186,717
  6. Step 6: Final answer
    x = 420,522.85

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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.