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Finding the Third Proportional to 199,684 and 300,340

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Solution

The third proportional to 199,684 and 300,340 is: 451,734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,684 : 300,340 = 300,340 : x
  2. Step 2: Convert to fraction form
    199,684/300,340 = 300,340/x
  3. Step 3: Cross multiply
    199,684x = 300,340 × 300,340
  4. Step 4: Simplify right side
    199,684x = 90,204,115,600
  5. Step 5: Solve for x
    x = 90,204,115,600/199,684
  6. Step 6: Final answer
    x = 451,734.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.