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Finding the Third Proportional to 194,356 and 419,336

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Solution

The third proportional to 194,356 and 419,336 is: 904,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,356 : 419,336 = 419,336 : x
  2. Step 2: Convert to fraction form
    194,356/419,336 = 419,336/x
  3. Step 3: Cross multiply
    194,356x = 419,336 × 419,336
  4. Step 4: Simplify right side
    194,356x = 175,842,680,896
  5. Step 5: Solve for x
    x = 175,842,680,896/194,356
  6. Step 6: Final answer
    x = 904,745.32

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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.