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Finding the Third Proportional to 182,868 and 276,252

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Solution

The third proportional to 182,868 and 276,252 is: 417,323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,868 : 276,252 = 276,252 : x
  2. Step 2: Convert to fraction form
    182,868/276,252 = 276,252/x
  3. Step 3: Cross multiply
    182,868x = 276,252 × 276,252
  4. Step 4: Simplify right side
    182,868x = 76,315,167,504
  5. Step 5: Solve for x
    x = 76,315,167,504/182,868
  6. Step 6: Final answer
    x = 417,323.79

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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.