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Finding the Third Proportional to 192,318.89 and 412,675.59

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Solution

The third proportional to 192,318.89 and 412,675.59 is: 885,514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,318.89 : 412,675.59 = 412,675.59 : x
  2. Step 2: Convert to fraction form
    192,318.89/412,675.59 = 412,675.59/x
  3. Step 3: Cross multiply
    192,318.89x = 412,675.59 × 412,675.59
  4. Step 4: Simplify right side
    192,318.89x = 170,301,145,676.92
  5. Step 5: Solve for x
    x = 170,301,145,676.92/192,318.89
  6. Step 6: Final answer
    x = 885,514.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.