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Finding the Third Proportional to 193,180.50 and 295,512.75

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Solution

The third proportional to 193,180.50 and 295,512.75 is: 452,052.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,180.50 : 295,512.75 = 295,512.75 : x
  2. Step 2: Convert to fraction form
    193,180.50/295,512.75 = 295,512.75/x
  3. Step 3: Cross multiply
    193,180.50x = 295,512.75 × 295,512.75
  4. Step 4: Simplify right side
    193,180.50x = 87,327,785,412.56
  5. Step 5: Solve for x
    x = 87,327,785,412.56/193,180.50
  6. Step 6: Final answer
    x = 452,052.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.