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Finding the Third Proportional to 192,150.56 and 273,722.06

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Solution

The third proportional to 192,150.56 and 273,722.06 is: 389,922.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,150.56 : 273,722.06 = 273,722.06 : x
  2. Step 2: Convert to fraction form
    192,150.56/273,722.06 = 273,722.06/x
  3. Step 3: Cross multiply
    192,150.56x = 273,722.06 × 273,722.06
  4. Step 4: Simplify right side
    192,150.56x = 74,923,767,499.25
  5. Step 5: Solve for x
    x = 74,923,767,499.25/192,150.56
  6. Step 6: Final answer
    x = 389,922.19

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.