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Finding the Third Proportional to 203,914.13 and 299,620.69

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Solution

The third proportional to 203,914.13 and 299,620.69 is: 440,246.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,914.13 : 299,620.69 = 299,620.69 : x
  2. Step 2: Convert to fraction form
    203,914.13/299,620.69 = 299,620.69/x
  3. Step 3: Cross multiply
    203,914.13x = 299,620.69 × 299,620.69
  4. Step 4: Simplify right side
    203,914.13x = 89,772,556,377.97
  5. Step 5: Solve for x
    x = 89,772,556,377.97/203,914.13
  6. Step 6: Final answer
    x = 440,246.88

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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.