Finding the Third Proportional to 193 and 441
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Solution
The third proportional to 193 and 441 is: 1,007.67
Step by Step Solution
- Step 1: Write the proportion equation
193 : 441 = 441 : x - Step 2: Convert to fraction form
193/441 = 441/x - Step 3: Cross multiply
193x = 441 × 441 - Step 4: Simplify right side
193x = 194,481 - Step 5: Solve for x
x = 194,481/193 - Step 6: Final answer
x = 1,007.67
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Why These Related Problems?
These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.