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Finding the Third Proportional to 194,454 and 419,256

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Solution

The third proportional to 194,454 and 419,256 is: 903,944.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,454 : 419,256 = 419,256 : x
  2. Step 2: Convert to fraction form
    194,454/419,256 = 419,256/x
  3. Step 3: Cross multiply
    194,454x = 419,256 × 419,256
  4. Step 4: Simplify right side
    194,454x = 175,775,593,536
  5. Step 5: Solve for x
    x = 175,775,593,536/194,454
  6. Step 6: Final answer
    x = 903,944.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.