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Finding the Third Proportional to 203,824.69 and 299,742.19

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Solution

The third proportional to 203,824.69 and 299,742.19 is: 440,797.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,824.69 : 299,742.19 = 299,742.19 : x
  2. Step 2: Convert to fraction form
    203,824.69/299,742.19 = 299,742.19/x
  3. Step 3: Cross multiply
    203,824.69x = 299,742.19 × 299,742.19
  4. Step 4: Simplify right side
    203,824.69x = 89,845,378,967.29
  5. Step 5: Solve for x
    x = 89,845,378,967.29/203,824.69
  6. Step 6: Final answer
    x = 440,797.33

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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.