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Finding the Third Proportional to 161,219 and 351,112

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Solution

The third proportional to 161,219 and 351,112 is: 764,671.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,219 : 351,112 = 351,112 : x
  2. Step 2: Convert to fraction form
    161,219/351,112 = 351,112/x
  3. Step 3: Cross multiply
    161,219x = 351,112 × 351,112
  4. Step 4: Simplify right side
    161,219x = 123,279,636,544
  5. Step 5: Solve for x
    x = 123,279,636,544/161,219
  6. Step 6: Final answer
    x = 764,671.88

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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.