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Finding the Third Proportional to 171,394.73 and 396,724.08

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Solution

The third proportional to 171,394.73 and 396,724.08 is: 918,289.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,394.73 : 396,724.08 = 396,724.08 : x
  2. Step 2: Convert to fraction form
    171,394.73/396,724.08 = 396,724.08/x
  3. Step 3: Cross multiply
    171,394.73x = 396,724.08 × 396,724.08
  4. Step 4: Simplify right side
    171,394.73x = 157,389,994,164.13
  5. Step 5: Solve for x
    x = 157,389,994,164.13/171,394.73
  6. Step 6: Final answer
    x = 918,289.55

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.