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Finding the Third Proportional to 192,272.33 and 419,141.78

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Solution

The third proportional to 192,272.33 and 419,141.78 is: 913,703.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,272.33 : 419,141.78 = 419,141.78 : x
  2. Step 2: Convert to fraction form
    192,272.33/419,141.78 = 419,141.78/x
  3. Step 3: Cross multiply
    192,272.33x = 419,141.78 × 419,141.78
  4. Step 4: Simplify right side
    192,272.33x = 175,679,829,514.88
  5. Step 5: Solve for x
    x = 175,679,829,514.88/192,272.33
  6. Step 6: Final answer
    x = 913,703.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.