Finding the Third Proportional to 198 and 448
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Solution
The third proportional to 198 and 448 is: 1,013.66
Step by Step Solution
- Step 1: Write the proportion equation
198 : 448 = 448 : x - Step 2: Convert to fraction form
198/448 = 448/x - Step 3: Cross multiply
198x = 448 × 448 - Step 4: Simplify right side
198x = 200,704 - Step 5: Solve for x
x = 200,704/198 - Step 6: Final answer
x = 1,013.66
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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.