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Finding the Third Proportional to 187,003.69 and 282,745.69

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Solution

The third proportional to 187,003.69 and 282,745.69 is: 427,505.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,003.69 : 282,745.69 = 282,745.69 : x
  2. Step 2: Convert to fraction form
    187,003.69/282,745.69 = 282,745.69/x
  3. Step 3: Cross multiply
    187,003.69x = 282,745.69 × 282,745.69
  4. Step 4: Simplify right side
    187,003.69x = 79,945,123,799.85
  5. Step 5: Solve for x
    x = 79,945,123,799.85/187,003.69
  6. Step 6: Final answer
    x = 427,505.60

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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.