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Finding the Third Proportional to 187,629.75 and 283,074.75

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Solution

The third proportional to 187,629.75 and 283,074.75 is: 427,071.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,629.75 : 283,074.75 = 283,074.75 : x
  2. Step 2: Convert to fraction form
    187,629.75/283,074.75 = 283,074.75/x
  3. Step 3: Cross multiply
    187,629.75x = 283,074.75 × 283,074.75
  4. Step 4: Simplify right side
    187,629.75x = 80,131,314,087.56
  5. Step 5: Solve for x
    x = 80,131,314,087.56/187,629.75
  6. Step 6: Final answer
    x = 427,071.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.