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Finding the Third Proportional to 169,623 and 353,198

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Solution

The third proportional to 169,623 and 353,198 is: 735,447.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,623 : 353,198 = 353,198 : x
  2. Step 2: Convert to fraction form
    169,623/353,198 = 353,198/x
  3. Step 3: Cross multiply
    169,623x = 353,198 × 353,198
  4. Step 4: Simplify right side
    169,623x = 124,748,827,204
  5. Step 5: Solve for x
    x = 124,748,827,204/169,623
  6. Step 6: Final answer
    x = 735,447.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.