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Finding the Third Proportional to 196,636 and 300,684

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Solution

The third proportional to 196,636 and 300,684 is: 459,787.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,636 : 300,684 = 300,684 : x
  2. Step 2: Convert to fraction form
    196,636/300,684 = 300,684/x
  3. Step 3: Cross multiply
    196,636x = 300,684 × 300,684
  4. Step 4: Simplify right side
    196,636x = 90,410,867,856
  5. Step 5: Solve for x
    x = 90,410,867,856/196,636
  6. Step 6: Final answer
    x = 459,787.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.