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Finding the Third Proportional to 161,753 and 351,843

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Solution

The third proportional to 161,753 and 351,843 is: 765,324.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,753 : 351,843 = 351,843 : x
  2. Step 2: Convert to fraction form
    161,753/351,843 = 351,843/x
  3. Step 3: Cross multiply
    161,753x = 351,843 × 351,843
  4. Step 4: Simplify right side
    161,753x = 123,793,496,649
  5. Step 5: Solve for x
    x = 123,793,496,649/161,753
  6. Step 6: Final answer
    x = 765,324.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.