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Finding the Third Proportional to 192,236 and 420,662

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Solution

The third proportional to 192,236 and 420,662 is: 920,517.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,236 : 420,662 = 420,662 : x
  2. Step 2: Convert to fraction form
    192,236/420,662 = 420,662/x
  3. Step 3: Cross multiply
    192,236x = 420,662 × 420,662
  4. Step 4: Simplify right side
    192,236x = 176,956,518,244
  5. Step 5: Solve for x
    x = 176,956,518,244/192,236
  6. Step 6: Final answer
    x = 920,517.06

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Why These Related Problems?

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