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Finding the Third Proportional to 192,305.25 and 420,810.75

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Solution

The third proportional to 192,305.25 and 420,810.75 is: 920,836.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,305.25 : 420,810.75 = 420,810.75 : x
  2. Step 2: Convert to fraction form
    192,305.25/420,810.75 = 420,810.75/x
  3. Step 3: Cross multiply
    192,305.25x = 420,810.75 × 420,810.75
  4. Step 4: Simplify right side
    192,305.25x = 177,081,687,315.56
  5. Step 5: Solve for x
    x = 177,081,687,315.56/192,305.25
  6. Step 6: Final answer
    x = 920,836.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.