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Finding the Third Proportional to 193,600.50 and 284,051.25

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Solution

The third proportional to 193,600.50 and 284,051.25 is: 416,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,600.50 : 284,051.25 = 284,051.25 : x
  2. Step 2: Convert to fraction form
    193,600.50/284,051.25 = 284,051.25/x
  3. Step 3: Cross multiply
    193,600.50x = 284,051.25 × 284,051.25
  4. Step 4: Simplify right side
    193,600.50x = 80,685,112,626.56
  5. Step 5: Solve for x
    x = 80,685,112,626.56/193,600.50
  6. Step 6: Final answer
    x = 416,760.87

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