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Finding the Third Proportional to 192,325.50 and 274,614

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Solution

The third proportional to 192,325.50 and 274,614 is: 392,110.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,325.50 : 274,614 = 274,614 : x
  2. Step 2: Convert to fraction form
    192,325.50/274,614 = 274,614/x
  3. Step 3: Cross multiply
    192,325.50x = 274,614 × 274,614
  4. Step 4: Simplify right side
    192,325.50x = 75,412,848,996
  5. Step 5: Solve for x
    x = 75,412,848,996/192,325.50
  6. Step 6: Final answer
    x = 392,110.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.