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Finding the Third Proportional to 185,856 and 280,512

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Solution

The third proportional to 185,856 and 280,512 is: 423,376.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,856 : 280,512 = 280,512 : x
  2. Step 2: Convert to fraction form
    185,856/280,512 = 280,512/x
  3. Step 3: Cross multiply
    185,856x = 280,512 × 280,512
  4. Step 4: Simplify right side
    185,856x = 78,686,982,144
  5. Step 5: Solve for x
    x = 78,686,982,144/185,856
  6. Step 6: Final answer
    x = 423,376.07

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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.