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Finding the Third Proportional to 110,944.69 and 180,252.84

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Solution

The third proportional to 110,944.69 and 180,252.84 is: 292,858.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,944.69 : 180,252.84 = 180,252.84 : x
  2. Step 2: Convert to fraction form
    110,944.69/180,252.84 = 180,252.84/x
  3. Step 3: Cross multiply
    110,944.69x = 180,252.84 × 180,252.84
  4. Step 4: Simplify right side
    110,944.69x = 32,491,087,679.96
  5. Step 5: Solve for x
    x = 32,491,087,679.96/110,944.69
  6. Step 6: Final answer
    x = 292,858.44

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.