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Finding the Third Proportional to 183,738 and 275,608

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Solution

The third proportional to 183,738 and 275,608 is: 413,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,738 : 275,608 = 275,608 : x
  2. Step 2: Convert to fraction form
    183,738/275,608 = 275,608/x
  3. Step 3: Cross multiply
    183,738x = 275,608 × 275,608
  4. Step 4: Simplify right side
    183,738x = 75,959,769,664
  5. Step 5: Solve for x
    x = 75,959,769,664/183,738
  6. Step 6: Final answer
    x = 413,413.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.