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Finding the Third Proportional to 206,481 and 302,897

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Solution

The third proportional to 206,481 and 302,897 is: 444,334.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,481 : 302,897 = 302,897 : x
  2. Step 2: Convert to fraction form
    206,481/302,897 = 302,897/x
  3. Step 3: Cross multiply
    206,481x = 302,897 × 302,897
  4. Step 4: Simplify right side
    206,481x = 91,746,592,609
  5. Step 5: Solve for x
    x = 91,746,592,609/206,481
  6. Step 6: Final answer
    x = 444,334.31

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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.