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Finding the Third Proportional to 190,294.03 and 396,331.17

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Solution

The third proportional to 190,294.03 and 396,331.17 is: 825,451.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,294.03 : 396,331.17 = 396,331.17 : x
  2. Step 2: Convert to fraction form
    190,294.03/396,331.17 = 396,331.17/x
  3. Step 3: Cross multiply
    190,294.03x = 396,331.17 × 396,331.17
  4. Step 4: Simplify right side
    190,294.03x = 157,078,397,799.81
  5. Step 5: Solve for x
    x = 157,078,397,799.81/190,294.03
  6. Step 6: Final answer
    x = 825,451.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.