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Finding the Third Proportional to 192,259 and 421,958

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Solution

The third proportional to 192,259 and 421,958 is: 926,086.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,259 : 421,958 = 421,958 : x
  2. Step 2: Convert to fraction form
    192,259/421,958 = 421,958/x
  3. Step 3: Cross multiply
    192,259x = 421,958 × 421,958
  4. Step 4: Simplify right side
    192,259x = 178,048,553,764
  5. Step 5: Solve for x
    x = 178,048,553,764/192,259
  6. Step 6: Final answer
    x = 926,086.96

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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.