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Finding the Third Proportional to 140,379 and 304,408.50

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Solution

The third proportional to 140,379 and 304,408.50 is: 660,102.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,379 : 304,408.50 = 304,408.50 : x
  2. Step 2: Convert to fraction form
    140,379/304,408.50 = 304,408.50/x
  3. Step 3: Cross multiply
    140,379x = 304,408.50 × 304,408.50
  4. Step 4: Simplify right side
    140,379x = 92,664,534,872.25
  5. Step 5: Solve for x
    x = 92,664,534,872.25/140,379
  6. Step 6: Final answer
    x = 660,102.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.