Finding the Third Proportional to 198,544 and 419,168
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Solution
The third proportional to 198,544 and 419,168 is: 884,951.51
Step by Step Solution
- Step 1: Write the proportion equation
198,544 : 419,168 = 419,168 : x - Step 2: Convert to fraction form
198,544/419,168 = 419,168/x - Step 3: Cross multiply
198,544x = 419,168 × 419,168 - Step 4: Simplify right side
198,544x = 175,701,812,224 - Step 5: Solve for x
x = 175,701,812,224/198,544 - Step 6: Final answer
x = 884,951.51
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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.