Finding the Third Proportional to 82,370 and 167,654
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Solution
The third proportional to 82,370 and 167,654 is: 341,239.09
Step by Step Solution
- Step 1: Write the proportion equation
82,370 : 167,654 = 167,654 : x - Step 2: Convert to fraction form
82,370/167,654 = 167,654/x - Step 3: Cross multiply
82,370x = 167,654 × 167,654 - Step 4: Simplify right side
82,370x = 28,107,863,716 - Step 5: Solve for x
x = 28,107,863,716/82,370 - Step 6: Final answer
x = 341,239.09
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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.