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Finding the Third Proportional to 203,669.44 and 304,137.28

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Solution

The third proportional to 203,669.44 and 304,137.28 is: 454,164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,669.44 : 304,137.28 = 304,137.28 : x
  2. Step 2: Convert to fraction form
    203,669.44/304,137.28 = 304,137.28/x
  3. Step 3: Cross multiply
    203,669.44x = 304,137.28 × 304,137.28
  4. Step 4: Simplify right side
    203,669.44x = 92,499,485,846.14
  5. Step 5: Solve for x
    x = 92,499,485,846.14/203,669.44
  6. Step 6: Final answer
    x = 454,164.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.