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Finding the Third Proportional to 192,794 and 288,052

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Solution

The third proportional to 192,794 and 288,052 is: 430,376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,794 : 288,052 = 288,052 : x
  2. Step 2: Convert to fraction form
    192,794/288,052 = 288,052/x
  3. Step 3: Cross multiply
    192,794x = 288,052 × 288,052
  4. Step 4: Simplify right side
    192,794x = 82,973,954,704
  5. Step 5: Solve for x
    x = 82,973,954,704/192,794
  6. Step 6: Final answer
    x = 430,376.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.