Finding the Third Proportional to 198,538 and 428,178
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Solution
The third proportional to 198,538 and 428,178 is: 923,432.29
Step by Step Solution
- Step 1: Write the proportion equation
198,538 : 428,178 = 428,178 : x - Step 2: Convert to fraction form
198,538/428,178 = 428,178/x - Step 3: Cross multiply
198,538x = 428,178 × 428,178 - Step 4: Simplify right side
198,538x = 183,336,399,684 - Step 5: Solve for x
x = 183,336,399,684/198,538 - Step 6: Final answer
x = 923,432.29
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.