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Finding the Third Proportional to 185,234 and 276,630

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Solution

The third proportional to 185,234 and 276,630 is: 413,121.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,234 : 276,630 = 276,630 : x
  2. Step 2: Convert to fraction form
    185,234/276,630 = 276,630/x
  3. Step 3: Cross multiply
    185,234x = 276,630 × 276,630
  4. Step 4: Simplify right side
    185,234x = 76,524,156,900
  5. Step 5: Solve for x
    x = 76,524,156,900/185,234
  6. Step 6: Final answer
    x = 413,121.55

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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.