Finding the Third Proportional to 226,738.50 and 494,922
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Solution
The third proportional to 226,738.50 and 494,922 is: 1,080,309.63
Step by Step Solution
- Step 1: Write the proportion equation
226,738.50 : 494,922 = 494,922 : x - Step 2: Convert to fraction form
226,738.50/494,922 = 494,922/x - Step 3: Cross multiply
226,738.50x = 494,922 × 494,922 - Step 4: Simplify right side
226,738.50x = 244,947,786,084 - Step 5: Solve for x
x = 244,947,786,084/226,738.50 - Step 6: Final answer
x = 1,080,309.63
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.