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Finding the Third Proportional to 118,611 and 283,513.50

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Solution

The third proportional to 118,611 and 283,513.50 is: 677,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,611 : 283,513.50 = 283,513.50 : x
  2. Step 2: Convert to fraction form
    118,611/283,513.50 = 283,513.50/x
  3. Step 3: Cross multiply
    118,611x = 283,513.50 × 283,513.50
  4. Step 4: Simplify right side
    118,611x = 80,379,904,682.25
  5. Step 5: Solve for x
    x = 80,379,904,682.25/118,611
  6. Step 6: Final answer
    x = 677,676.65

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.