Finding the Third Proportional to 178,482 and 287,019
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Solution
The third proportional to 178,482 and 287,019 is: 461,558.62
Step by Step Solution
- Step 1: Write the proportion equation
178,482 : 287,019 = 287,019 : x - Step 2: Convert to fraction form
178,482/287,019 = 287,019/x - Step 3: Cross multiply
178,482x = 287,019 × 287,019 - Step 4: Simplify right side
178,482x = 82,379,906,361 - Step 5: Solve for x
x = 82,379,906,361/178,482 - Step 6: Final answer
x = 461,558.62
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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.