Finding the Third Proportional to 82,220 and 177,236
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Solution
The third proportional to 82,220 and 177,236 is: 382,055.46
Step by Step Solution
- Step 1: Write the proportion equation
82,220 : 177,236 = 177,236 : x - Step 2: Convert to fraction form
82,220/177,236 = 177,236/x - Step 3: Cross multiply
82,220x = 177,236 × 177,236 - Step 4: Simplify right side
82,220x = 31,412,599,696 - Step 5: Solve for x
x = 31,412,599,696/82,220 - Step 6: Final answer
x = 382,055.46
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.