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Finding the Third Proportional to 192,322.50 and 274,609.50

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Solution

The third proportional to 192,322.50 and 274,609.50 is: 392,103.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,322.50 : 274,609.50 = 274,609.50 : x
  2. Step 2: Convert to fraction form
    192,322.50/274,609.50 = 274,609.50/x
  3. Step 3: Cross multiply
    192,322.50x = 274,609.50 × 274,609.50
  4. Step 4: Simplify right side
    192,322.50x = 75,410,377,490.25
  5. Step 5: Solve for x
    x = 75,410,377,490.25/192,322.50
  6. Step 6: Final answer
    x = 392,103.77

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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.