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Finding the Third Proportional to 185,966 and 276,213

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Solution

The third proportional to 185,966 and 276,213 is: 410,255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,966 : 276,213 = 276,213 : x
  2. Step 2: Convert to fraction form
    185,966/276,213 = 276,213/x
  3. Step 3: Cross multiply
    185,966x = 276,213 × 276,213
  4. Step 4: Simplify right side
    185,966x = 76,293,621,369
  5. Step 5: Solve for x
    x = 76,293,621,369/185,966
  6. Step 6: Final answer
    x = 410,255.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.