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Finding the Third Proportional to 206,919 and 443,355.75

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Solution

The third proportional to 206,919 and 443,355.75 is: 949,957.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,919 : 443,355.75 = 443,355.75 : x
  2. Step 2: Convert to fraction form
    206,919/443,355.75 = 443,355.75/x
  3. Step 3: Cross multiply
    206,919x = 443,355.75 × 443,355.75
  4. Step 4: Simplify right side
    206,919x = 196,564,321,058.06
  5. Step 5: Solve for x
    x = 196,564,321,058.06/206,919
  6. Step 6: Final answer
    x = 949,957.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.