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Finding the Third Proportional to 191,194 and 303,665

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Solution

The third proportional to 191,194 and 303,665 is: 482,297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,194 : 303,665 = 303,665 : x
  2. Step 2: Convert to fraction form
    191,194/303,665 = 303,665/x
  3. Step 3: Cross multiply
    191,194x = 303,665 × 303,665
  4. Step 4: Simplify right side
    191,194x = 92,212,432,225
  5. Step 5: Solve for x
    x = 92,212,432,225/191,194
  6. Step 6: Final answer
    x = 482,297.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.