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Finding the Third Proportional to 183,906 and 281,193

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Solution

The third proportional to 183,906 and 281,193 is: 429,945.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,906 : 281,193 = 281,193 : x
  2. Step 2: Convert to fraction form
    183,906/281,193 = 281,193/x
  3. Step 3: Cross multiply
    183,906x = 281,193 × 281,193
  4. Step 4: Simplify right side
    183,906x = 79,069,503,249
  5. Step 5: Solve for x
    x = 79,069,503,249/183,906
  6. Step 6: Final answer
    x = 429,945.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.