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Finding the Third Proportional to 280,173 and 419,268

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Solution

The third proportional to 280,173 and 419,268 is: 627,418.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,173 : 419,268 = 419,268 : x
  2. Step 2: Convert to fraction form
    280,173/419,268 = 419,268/x
  3. Step 3: Cross multiply
    280,173x = 419,268 × 419,268
  4. Step 4: Simplify right side
    280,173x = 175,785,655,824
  5. Step 5: Solve for x
    x = 175,785,655,824/280,173
  6. Step 6: Final answer
    x = 627,418.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.