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Finding the Third Proportional to 189,685.13 and 396,910.13

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Solution

The third proportional to 189,685.13 and 396,910.13 is: 830,521.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,685.13 : 396,910.13 = 396,910.13 : x
  2. Step 2: Convert to fraction form
    189,685.13/396,910.13 = 396,910.13/x
  3. Step 3: Cross multiply
    189,685.13x = 396,910.13 × 396,910.13
  4. Step 4: Simplify right side
    189,685.13x = 157,537,647,327.52
  5. Step 5: Solve for x
    x = 157,537,647,327.52/189,685.13
  6. Step 6: Final answer
    x = 830,521.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.