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Finding the Third Proportional to 206,626 and 302,860

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Solution

The third proportional to 206,626 and 302,860 is: 443,914.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,626 : 302,860 = 302,860 : x
  2. Step 2: Convert to fraction form
    206,626/302,860 = 302,860/x
  3. Step 3: Cross multiply
    206,626x = 302,860 × 302,860
  4. Step 4: Simplify right side
    206,626x = 91,724,179,600
  5. Step 5: Solve for x
    x = 91,724,179,600/206,626
  6. Step 6: Final answer
    x = 443,914.03

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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.