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Finding the Third Proportional to 199,495.41 and 280,585.27

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Solution

The third proportional to 199,495.41 and 280,585.27 is: 394,636.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,495.41 : 280,585.27 = 280,585.27 : x
  2. Step 2: Convert to fraction form
    199,495.41/280,585.27 = 280,585.27/x
  3. Step 3: Cross multiply
    199,495.41x = 280,585.27 × 280,585.27
  4. Step 4: Simplify right side
    199,495.41x = 78,728,091,285.85
  5. Step 5: Solve for x
    x = 78,728,091,285.85/199,495.41
  6. Step 6: Final answer
    x = 394,636.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.