Finding the Third Proportional to 82,427 and 158,284
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Solution
The third proportional to 82,427 and 158,284 is: 303,951.67
Step by Step Solution
- Step 1: Write the proportion equation
82,427 : 158,284 = 158,284 : x - Step 2: Convert to fraction form
82,427/158,284 = 158,284/x - Step 3: Cross multiply
82,427x = 158,284 × 158,284 - Step 4: Simplify right side
82,427x = 25,053,824,656 - Step 5: Solve for x
x = 25,053,824,656/82,427 - Step 6: Final answer
x = 303,951.67
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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.