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Finding the Third Proportional to 117,014 and 228,193

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Solution

The third proportional to 117,014 and 228,193 is: 445,006.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,014 : 228,193 = 228,193 : x
  2. Step 2: Convert to fraction form
    117,014/228,193 = 228,193/x
  3. Step 3: Cross multiply
    117,014x = 228,193 × 228,193
  4. Step 4: Simplify right side
    117,014x = 52,072,045,249
  5. Step 5: Solve for x
    x = 52,072,045,249/117,014
  6. Step 6: Final answer
    x = 445,006.97

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.