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Finding the Third Proportional to 185,193 and 276,570

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Solution

The third proportional to 185,193 and 276,570 is: 413,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,193 : 276,570 = 276,570 : x
  2. Step 2: Convert to fraction form
    185,193/276,570 = 276,570/x
  3. Step 3: Cross multiply
    185,193x = 276,570 × 276,570
  4. Step 4: Simplify right side
    185,193x = 76,490,964,900
  5. Step 5: Solve for x
    x = 76,490,964,900/185,193
  6. Step 6: Final answer
    x = 413,033.78

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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.