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Finding the Third Proportional to 185,834 and 280,491

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Solution

The third proportional to 185,834 and 280,491 is: 423,362.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,834 : 280,491 = 280,491 : x
  2. Step 2: Convert to fraction form
    185,834/280,491 = 280,491/x
  3. Step 3: Cross multiply
    185,834x = 280,491 × 280,491
  4. Step 4: Simplify right side
    185,834x = 78,675,201,081
  5. Step 5: Solve for x
    x = 78,675,201,081/185,834
  6. Step 6: Final answer
    x = 423,362.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.