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Finding the Third Proportional to 161,790 and 236,529

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Solution

The third proportional to 161,790 and 236,529 is: 345,793.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,790 : 236,529 = 236,529 : x
  2. Step 2: Convert to fraction form
    161,790/236,529 = 236,529/x
  3. Step 3: Cross multiply
    161,790x = 236,529 × 236,529
  4. Step 4: Simplify right side
    161,790x = 55,945,967,841
  5. Step 5: Solve for x
    x = 55,945,967,841/161,790
  6. Step 6: Final answer
    x = 345,793.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.