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Finding the Third Proportional to 192,832.31 and 415,297.13

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Solution

The third proportional to 192,832.31 and 415,297.13 is: 894,412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,832.31 : 415,297.13 = 415,297.13 : x
  2. Step 2: Convert to fraction form
    192,832.31/415,297.13 = 415,297.13/x
  3. Step 3: Cross multiply
    192,832.31x = 415,297.13 × 415,297.13
  4. Step 4: Simplify right side
    192,832.31x = 172,471,702,033.27
  5. Step 5: Solve for x
    x = 172,471,702,033.27/192,832.31
  6. Step 6: Final answer
    x = 894,412.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.