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Finding the Third Proportional to 192,395.25 and 295,974

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Solution

The third proportional to 192,395.25 and 295,974 is: 455,315.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,395.25 : 295,974 = 295,974 : x
  2. Step 2: Convert to fraction form
    192,395.25/295,974 = 295,974/x
  3. Step 3: Cross multiply
    192,395.25x = 295,974 × 295,974
  4. Step 4: Simplify right side
    192,395.25x = 87,600,608,676
  5. Step 5: Solve for x
    x = 87,600,608,676/192,395.25
  6. Step 6: Final answer
    x = 455,315.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.