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Finding the Third Proportional to 206,632 and 302,870

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Solution

The third proportional to 206,632 and 302,870 is: 443,930.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,632 : 302,870 = 302,870 : x
  2. Step 2: Convert to fraction form
    206,632/302,870 = 302,870/x
  3. Step 3: Cross multiply
    206,632x = 302,870 × 302,870
  4. Step 4: Simplify right side
    206,632x = 91,730,236,900
  5. Step 5: Solve for x
    x = 91,730,236,900/206,632
  6. Step 6: Final answer
    x = 443,930.45

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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.