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Finding the Third Proportional to 203,511.94 and 299,170.69

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Solution

The third proportional to 203,511.94 and 299,170.69 is: 439,792.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,511.94 : 299,170.69 = 299,170.69 : x
  2. Step 2: Convert to fraction form
    203,511.94/299,170.69 = 299,170.69/x
  3. Step 3: Cross multiply
    203,511.94x = 299,170.69 × 299,170.69
  4. Step 4: Simplify right side
    203,511.94x = 89,503,100,259.22
  5. Step 5: Solve for x
    x = 89,503,100,259.22/203,511.94
  6. Step 6: Final answer
    x = 439,792.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.