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Finding the Third Proportional to 186,925 and 280,626

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Solution

The third proportional to 186,925 and 280,626 is: 421,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,925 : 280,626 = 280,626 : x
  2. Step 2: Convert to fraction form
    186,925/280,626 = 280,626/x
  3. Step 3: Cross multiply
    186,925x = 280,626 × 280,626
  4. Step 4: Simplify right side
    186,925x = 78,750,951,876
  5. Step 5: Solve for x
    x = 78,750,951,876/186,925
  6. Step 6: Final answer
    x = 421,297.05

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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.