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Finding the Third Proportional to 183,755.50 and 395,663

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Solution

The third proportional to 183,755.50 and 395,663 is: 851,942.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,755.50 : 395,663 = 395,663 : x
  2. Step 2: Convert to fraction form
    183,755.50/395,663 = 395,663/x
  3. Step 3: Cross multiply
    183,755.50x = 395,663 × 395,663
  4. Step 4: Simplify right side
    183,755.50x = 156,549,209,569
  5. Step 5: Solve for x
    x = 156,549,209,569/183,755.50
  6. Step 6: Final answer
    x = 851,942.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.