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Finding the Third Proportional to 126,268 and 280,563

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Solution

The third proportional to 126,268 and 280,563 is: 623,401.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,268 : 280,563 = 280,563 : x
  2. Step 2: Convert to fraction form
    126,268/280,563 = 280,563/x
  3. Step 3: Cross multiply
    126,268x = 280,563 × 280,563
  4. Step 4: Simplify right side
    126,268x = 78,715,596,969
  5. Step 5: Solve for x
    x = 78,715,596,969/126,268
  6. Step 6: Final answer
    x = 623,401.00

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.