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Finding the Third Proportional to 206,397.75 and 275,226.75

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Solution

The third proportional to 206,397.75 and 275,226.75 is: 367,008.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,397.75 : 275,226.75 = 275,226.75 : x
  2. Step 2: Convert to fraction form
    206,397.75/275,226.75 = 275,226.75/x
  3. Step 3: Cross multiply
    206,397.75x = 275,226.75 × 275,226.75
  4. Step 4: Simplify right side
    206,397.75x = 75,749,763,915.56
  5. Step 5: Solve for x
    x = 75,749,763,915.56/206,397.75
  6. Step 6: Final answer
    x = 367,008.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.