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Finding the Third Proportional to 206,500 and 303,702

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Solution

The third proportional to 206,500 and 303,702 is: 446,658.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,500 : 303,702 = 303,702 : x
  2. Step 2: Convert to fraction form
    206,500/303,702 = 303,702/x
  3. Step 3: Cross multiply
    206,500x = 303,702 × 303,702
  4. Step 4: Simplify right side
    206,500x = 92,234,904,804
  5. Step 5: Solve for x
    x = 92,234,904,804/206,500
  6. Step 6: Final answer
    x = 446,658.13

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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.