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Finding the Third Proportional to 140,218 and 305,811

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Solution

The third proportional to 140,218 and 305,811 is: 666,964.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,218 : 305,811 = 305,811 : x
  2. Step 2: Convert to fraction form
    140,218/305,811 = 305,811/x
  3. Step 3: Cross multiply
    140,218x = 305,811 × 305,811
  4. Step 4: Simplify right side
    140,218x = 93,520,367,721
  5. Step 5: Solve for x
    x = 93,520,367,721/140,218
  6. Step 6: Final answer
    x = 666,964.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.