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Finding the Third Proportional to 206,898 and 269,446.50

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Solution

The third proportional to 206,898 and 269,446.50 is: 350,904.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,898 : 269,446.50 = 269,446.50 : x
  2. Step 2: Convert to fraction form
    206,898/269,446.50 = 269,446.50/x
  3. Step 3: Cross multiply
    206,898x = 269,446.50 × 269,446.50
  4. Step 4: Simplify right side
    206,898x = 72,601,416,362.25
  5. Step 5: Solve for x
    x = 72,601,416,362.25/206,898
  6. Step 6: Final answer
    x = 350,904.39

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.