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Finding the Third Proportional to 206,450 and 301,711

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Solution

The third proportional to 206,450 and 301,711 is: 440,927.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,450 : 301,711 = 301,711 : x
  2. Step 2: Convert to fraction form
    206,450/301,711 = 301,711/x
  3. Step 3: Cross multiply
    206,450x = 301,711 × 301,711
  4. Step 4: Simplify right side
    206,450x = 91,029,527,521
  5. Step 5: Solve for x
    x = 91,029,527,521/206,450
  6. Step 6: Final answer
    x = 440,927.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.