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Finding the Third Proportional to 191,806 and 283,992

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Solution

The third proportional to 191,806 and 283,992 is: 420,484.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,806 : 283,992 = 283,992 : x
  2. Step 2: Convert to fraction form
    191,806/283,992 = 283,992/x
  3. Step 3: Cross multiply
    191,806x = 283,992 × 283,992
  4. Step 4: Simplify right side
    191,806x = 80,651,456,064
  5. Step 5: Solve for x
    x = 80,651,456,064/191,806
  6. Step 6: Final answer
    x = 420,484.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.