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Finding the Third Proportional to 204,141 and 300,378

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Solution

The third proportional to 204,141 and 300,378 is: 441,983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,141 : 300,378 = 300,378 : x
  2. Step 2: Convert to fraction form
    204,141/300,378 = 300,378/x
  3. Step 3: Cross multiply
    204,141x = 300,378 × 300,378
  4. Step 4: Simplify right side
    204,141x = 90,226,942,884
  5. Step 5: Solve for x
    x = 90,226,942,884/204,141
  6. Step 6: Final answer
    x = 441,983.45

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Why These Related Problems?

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