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Finding the Third Proportional to 192,713.50 and 423,870

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Solution

The third proportional to 192,713.50 and 423,870 is: 932,294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,713.50 : 423,870 = 423,870 : x
  2. Step 2: Convert to fraction form
    192,713.50/423,870 = 423,870/x
  3. Step 3: Cross multiply
    192,713.50x = 423,870 × 423,870
  4. Step 4: Simplify right side
    192,713.50x = 179,665,776,900
  5. Step 5: Solve for x
    x = 179,665,776,900/192,713.50
  6. Step 6: Final answer
    x = 932,294.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.