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Finding the Third Proportional to 198,834 and 301,147

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Solution

The third proportional to 198,834 and 301,147 is: 456,106.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,834 : 301,147 = 301,147 : x
  2. Step 2: Convert to fraction form
    198,834/301,147 = 301,147/x
  3. Step 3: Cross multiply
    198,834x = 301,147 × 301,147
  4. Step 4: Simplify right side
    198,834x = 90,689,515,609
  5. Step 5: Solve for x
    x = 90,689,515,609/198,834
  6. Step 6: Final answer
    x = 456,106.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.