Finding the Third Proportional to 82,910.75 and 177,649.75
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Solution
The third proportional to 82,910.75 and 177,649.75 is: 380,643.45
Step by Step Solution
- Step 1: Write the proportion equation
82,910.75 : 177,649.75 = 177,649.75 : x - Step 2: Convert to fraction form
82,910.75/177,649.75 = 177,649.75/x - Step 3: Cross multiply
82,910.75x = 177,649.75 × 177,649.75 - Step 4: Simplify right side
82,910.75x = 31,559,433,675.06 - Step 5: Solve for x
x = 31,559,433,675.06/82,910.75 - Step 6: Final answer
x = 380,643.45
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.