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Finding the Third Proportional to 169,206 and 363,930

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Solution

The third proportional to 169,206 and 363,930 is: 782,744.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,206 : 363,930 = 363,930 : x
  2. Step 2: Convert to fraction form
    169,206/363,930 = 363,930/x
  3. Step 3: Cross multiply
    169,206x = 363,930 × 363,930
  4. Step 4: Simplify right side
    169,206x = 132,445,044,900
  5. Step 5: Solve for x
    x = 132,445,044,900/169,206
  6. Step 6: Final answer
    x = 782,744.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.