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Finding the Third Proportional to 228,039 and 335,193

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Solution

The third proportional to 228,039 and 335,193 is: 492,697.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,039 : 335,193 = 335,193 : x
  2. Step 2: Convert to fraction form
    228,039/335,193 = 335,193/x
  3. Step 3: Cross multiply
    228,039x = 335,193 × 335,193
  4. Step 4: Simplify right side
    228,039x = 112,354,347,249
  5. Step 5: Solve for x
    x = 112,354,347,249/228,039
  6. Step 6: Final answer
    x = 492,697.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.