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Finding the Third Proportional to 206,148 and 300,474

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Solution

The third proportional to 206,148 and 300,474 is: 437,960.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,148 : 300,474 = 300,474 : x
  2. Step 2: Convert to fraction form
    206,148/300,474 = 300,474/x
  3. Step 3: Cross multiply
    206,148x = 300,474 × 300,474
  4. Step 4: Simplify right side
    206,148x = 90,284,624,676
  5. Step 5: Solve for x
    x = 90,284,624,676/206,148
  6. Step 6: Final answer
    x = 437,960.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.