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Finding the Third Proportional to 192,433.22 and 445,954.36

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Solution

The third proportional to 192,433.22 and 445,954.36 is: 1,033,476.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,433.22 : 445,954.36 = 445,954.36 : x
  2. Step 2: Convert to fraction form
    192,433.22/445,954.36 = 445,954.36/x
  3. Step 3: Cross multiply
    192,433.22x = 445,954.36 × 445,954.36
  4. Step 4: Simplify right side
    192,433.22x = 198,875,290,645.57
  5. Step 5: Solve for x
    x = 198,875,290,645.57/192,433.22
  6. Step 6: Final answer
    x = 1,033,476.92

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.