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Finding the Third Proportional to 174,524 and 280,009

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Solution

The third proportional to 174,524 and 280,009 is: 449,250.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,524 : 280,009 = 280,009 : x
  2. Step 2: Convert to fraction form
    174,524/280,009 = 280,009/x
  3. Step 3: Cross multiply
    174,524x = 280,009 × 280,009
  4. Step 4: Simplify right side
    174,524x = 78,405,040,081
  5. Step 5: Solve for x
    x = 78,405,040,081/174,524
  6. Step 6: Final answer
    x = 449,250.76

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.