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Finding the Third Proportional to 182,822 and 276,177

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Solution

The third proportional to 182,822 and 276,177 is: 417,202.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,822 : 276,177 = 276,177 : x
  2. Step 2: Convert to fraction form
    182,822/276,177 = 276,177/x
  3. Step 3: Cross multiply
    182,822x = 276,177 × 276,177
  4. Step 4: Simplify right side
    182,822x = 76,273,735,329
  5. Step 5: Solve for x
    x = 76,273,735,329/182,822
  6. Step 6: Final answer
    x = 417,202.17

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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.