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Finding the Third Proportional to 190,525.50 and 280,524.75

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Solution

The third proportional to 190,525.50 and 280,524.75 is: 413,037.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,525.50 : 280,524.75 = 280,524.75 : x
  2. Step 2: Convert to fraction form
    190,525.50/280,524.75 = 280,524.75/x
  3. Step 3: Cross multiply
    190,525.50x = 280,524.75 × 280,524.75
  4. Step 4: Simplify right side
    190,525.50x = 78,694,135,362.56
  5. Step 5: Solve for x
    x = 78,694,135,362.56/190,525.50
  6. Step 6: Final answer
    x = 413,037.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.