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Finding the Third Proportional to 203,882 and 299,814

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Solution

The third proportional to 203,882 and 299,814 is: 440,884.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,882 : 299,814 = 299,814 : x
  2. Step 2: Convert to fraction form
    203,882/299,814 = 299,814/x
  3. Step 3: Cross multiply
    203,882x = 299,814 × 299,814
  4. Step 4: Simplify right side
    203,882x = 89,888,434,596
  5. Step 5: Solve for x
    x = 89,888,434,596/203,882
  6. Step 6: Final answer
    x = 440,884.60

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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.