Finding the Third Proportional to 82,231.13 and 177,151.13
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Solution
The third proportional to 82,231.13 and 177,151.13 is: 381,637.99
Step by Step Solution
- Step 1: Write the proportion equation
82,231.13 : 177,151.13 = 177,151.13 : x - Step 2: Convert to fraction form
82,231.13/177,151.13 = 177,151.13/x - Step 3: Cross multiply
82,231.13x = 177,151.13 × 177,151.13 - Step 4: Simplify right side
82,231.13x = 31,382,521,088.77 - Step 5: Solve for x
x = 31,382,521,088.77/82,231.13 - Step 6: Final answer
x = 381,637.99
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.