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Finding the Third Proportional to 192,243.75 and 412,945.50

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Solution

The third proportional to 192,243.75 and 412,945.50 is: 887,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,243.75 : 412,945.50 = 412,945.50 : x
  2. Step 2: Convert to fraction form
    192,243.75/412,945.50 = 412,945.50/x
  3. Step 3: Cross multiply
    192,243.75x = 412,945.50 × 412,945.50
  4. Step 4: Simplify right side
    192,243.75x = 170,523,985,970.25
  5. Step 5: Solve for x
    x = 170,523,985,970.25/192,243.75
  6. Step 6: Final answer
    x = 887,019.66

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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.