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Finding the Third Proportional to 169,938 and 374,172

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Solution

The third proportional to 169,938 and 374,172 is: 823,857.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,938 : 374,172 = 374,172 : x
  2. Step 2: Convert to fraction form
    169,938/374,172 = 374,172/x
  3. Step 3: Cross multiply
    169,938x = 374,172 × 374,172
  4. Step 4: Simplify right side
    169,938x = 140,004,685,584
  5. Step 5: Solve for x
    x = 140,004,685,584/169,938
  6. Step 6: Final answer
    x = 823,857.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.