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Finding the Third Proportional to 193,200.75 and 295,535.25

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Solution

The third proportional to 193,200.75 and 295,535.25 is: 452,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,200.75 : 295,535.25 = 295,535.25 : x
  2. Step 2: Convert to fraction form
    193,200.75/295,535.25 = 295,535.25/x
  3. Step 3: Cross multiply
    193,200.75x = 295,535.25 × 295,535.25
  4. Step 4: Simplify right side
    193,200.75x = 87,341,083,992.56
  5. Step 5: Solve for x
    x = 87,341,083,992.56/193,200.75
  6. Step 6: Final answer
    x = 452,074.25

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