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Finding the Third Proportional to 191,832 and 300,930

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Solution

The third proportional to 191,832 and 300,930 is: 472,073.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,832 : 300,930 = 300,930 : x
  2. Step 2: Convert to fraction form
    191,832/300,930 = 300,930/x
  3. Step 3: Cross multiply
    191,832x = 300,930 × 300,930
  4. Step 4: Simplify right side
    191,832x = 90,558,864,900
  5. Step 5: Solve for x
    x = 90,558,864,900/191,832
  6. Step 6: Final answer
    x = 472,073.82

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.