Finding the Third Proportional to 198 and 444
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Solution
The third proportional to 198 and 444 is: 995.64
Step by Step Solution
- Step 1: Write the proportion equation
198 : 444 = 444 : x - Step 2: Convert to fraction form
198/444 = 444/x - Step 3: Cross multiply
198x = 444 × 444 - Step 4: Simplify right side
198x = 197,136 - Step 5: Solve for x
x = 197,136/198 - Step 6: Final answer
x = 995.64
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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.