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Finding the Third Proportional to 110,619 and 166,480.50

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Solution

The third proportional to 110,619 and 166,480.50 is: 250,551.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,619 : 166,480.50 = 166,480.50 : x
  2. Step 2: Convert to fraction form
    110,619/166,480.50 = 166,480.50/x
  3. Step 3: Cross multiply
    110,619x = 166,480.50 × 166,480.50
  4. Step 4: Simplify right side
    110,619x = 27,715,756,880.25
  5. Step 5: Solve for x
    x = 27,715,756,880.25/110,619
  6. Step 6: Final answer
    x = 250,551.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.