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Finding the Third Proportional to 248,450 and 351,219

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Solution

The third proportional to 248,450 and 351,219 is: 496,497.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,450 : 351,219 = 351,219 : x
  2. Step 2: Convert to fraction form
    248,450/351,219 = 351,219/x
  3. Step 3: Cross multiply
    248,450x = 351,219 × 351,219
  4. Step 4: Simplify right side
    248,450x = 123,354,785,961
  5. Step 5: Solve for x
    x = 123,354,785,961/248,450
  6. Step 6: Final answer
    x = 496,497.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.