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Finding the Third Proportional to 206,970 and 303,640.50

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Solution

The third proportional to 206,970 and 303,640.50 is: 445,463.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,970 : 303,640.50 = 303,640.50 : x
  2. Step 2: Convert to fraction form
    206,970/303,640.50 = 303,640.50/x
  3. Step 3: Cross multiply
    206,970x = 303,640.50 × 303,640.50
  4. Step 4: Simplify right side
    206,970x = 92,197,553,240.25
  5. Step 5: Solve for x
    x = 92,197,553,240.25/206,970
  6. Step 6: Final answer
    x = 445,463.37

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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.