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Finding the Third Proportional to 192,420 and 445,402.69

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Solution

The third proportional to 192,420 and 445,402.69 is: 1,030,992.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,420 : 445,402.69 = 445,402.69 : x
  2. Step 2: Convert to fraction form
    192,420/445,402.69 = 445,402.69/x
  3. Step 3: Cross multiply
    192,420x = 445,402.69 × 445,402.69
  4. Step 4: Simplify right side
    192,420x = 198,383,554,032.22
  5. Step 5: Solve for x
    x = 198,383,554,032.22/192,420
  6. Step 6: Final answer
    x = 1,030,992.38

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.