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Finding the Third Proportional to 161,244 and 351,162

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Solution

The third proportional to 161,244 and 351,162 is: 764,771.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,244 : 351,162 = 351,162 : x
  2. Step 2: Convert to fraction form
    161,244/351,162 = 351,162/x
  3. Step 3: Cross multiply
    161,244x = 351,162 × 351,162
  4. Step 4: Simplify right side
    161,244x = 123,314,750,244
  5. Step 5: Solve for x
    x = 123,314,750,244/161,244
  6. Step 6: Final answer
    x = 764,771.09

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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.