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Finding the Third Proportional to 117,933.38 and 259,033.50

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Solution

The third proportional to 117,933.38 and 259,033.50 is: 568,951.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,933.38 : 259,033.50 = 259,033.50 : x
  2. Step 2: Convert to fraction form
    117,933.38/259,033.50 = 259,033.50/x
  3. Step 3: Cross multiply
    117,933.38x = 259,033.50 × 259,033.50
  4. Step 4: Simplify right side
    117,933.38x = 67,098,354,122.25
  5. Step 5: Solve for x
    x = 67,098,354,122.25/117,933.38
  6. Step 6: Final answer
    x = 568,951.36

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.