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Finding the Third Proportional to 189,398.25 and 420,837.19

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Solution

The third proportional to 189,398.25 and 420,837.19 is: 935,087.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,398.25 : 420,837.19 = 420,837.19 : x
  2. Step 2: Convert to fraction form
    189,398.25/420,837.19 = 420,837.19/x
  3. Step 3: Cross multiply
    189,398.25x = 420,837.19 × 420,837.19
  4. Step 4: Simplify right side
    189,398.25x = 177,103,938,382.91
  5. Step 5: Solve for x
    x = 177,103,938,382.91/189,398.25
  6. Step 6: Final answer
    x = 935,087.51

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.