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Finding the Third Proportional to 192,263.25 and 414,108

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Solution

The third proportional to 192,263.25 and 414,108 is: 891,930.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,263.25 : 414,108 = 414,108 : x
  2. Step 2: Convert to fraction form
    192,263.25/414,108 = 414,108/x
  3. Step 3: Cross multiply
    192,263.25x = 414,108 × 414,108
  4. Step 4: Simplify right side
    192,263.25x = 171,485,435,664
  5. Step 5: Solve for x
    x = 171,485,435,664/192,263.25
  6. Step 6: Final answer
    x = 891,930.39

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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.