Finding the Third Proportional to 198,546 and 419,172
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Solution
The third proportional to 198,546 and 419,172 is: 884,959.48
Step by Step Solution
- Step 1: Write the proportion equation
198,546 : 419,172 = 419,172 : x - Step 2: Convert to fraction form
198,546/419,172 = 419,172/x - Step 3: Cross multiply
198,546x = 419,172 × 419,172 - Step 4: Simplify right side
198,546x = 175,705,165,584 - Step 5: Solve for x
x = 175,705,165,584/198,546 - Step 6: Final answer
x = 884,959.48
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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.