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Finding the Third Proportional to 209,272.25 and 454,219.88

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Solution

The third proportional to 209,272.25 and 454,219.88 is: 985,872.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,272.25 : 454,219.88 = 454,219.88 : x
  2. Step 2: Convert to fraction form
    209,272.25/454,219.88 = 454,219.88/x
  3. Step 3: Cross multiply
    209,272.25x = 454,219.88 × 454,219.88
  4. Step 4: Simplify right side
    209,272.25x = 206,315,694,845.02
  5. Step 5: Solve for x
    x = 206,315,694,845.02/209,272.25
  6. Step 6: Final answer
    x = 985,872.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.