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Finding the Third Proportional to 185,214 and 276,601

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Solution

The third proportional to 185,214 and 276,601 is: 413,079.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,214 : 276,601 = 276,601 : x
  2. Step 2: Convert to fraction form
    185,214/276,601 = 276,601/x
  3. Step 3: Cross multiply
    185,214x = 276,601 × 276,601
  4. Step 4: Simplify right side
    185,214x = 76,508,113,201
  5. Step 5: Solve for x
    x = 76,508,113,201/185,214
  6. Step 6: Final answer
    x = 413,079.54

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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.