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Finding the Third Proportional to 204,446.53 and 419,095.27

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Solution

The third proportional to 204,446.53 and 419,095.27 is: 859,104.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,446.53 : 419,095.27 = 419,095.27 : x
  2. Step 2: Convert to fraction form
    204,446.53/419,095.27 = 419,095.27/x
  3. Step 3: Cross multiply
    204,446.53x = 419,095.27 × 419,095.27
  4. Step 4: Simplify right side
    204,446.53x = 175,640,841,669.29
  5. Step 5: Solve for x
    x = 175,640,841,669.29/204,446.53
  6. Step 6: Final answer
    x = 859,104.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.