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Finding the Third Proportional to 194,650.50 and 419,676

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Solution

The third proportional to 194,650.50 and 419,676 is: 904,841.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,650.50 : 419,676 = 419,676 : x
  2. Step 2: Convert to fraction form
    194,650.50/419,676 = 419,676/x
  3. Step 3: Cross multiply
    194,650.50x = 419,676 × 419,676
  4. Step 4: Simplify right side
    194,650.50x = 176,127,944,976
  5. Step 5: Solve for x
    x = 176,127,944,976/194,650.50
  6. Step 6: Final answer
    x = 904,841.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.