Finding the Third Proportional to 111,728 and 234,946
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Solution
The third proportional to 111,728 and 234,946 is: 494,053.62
Step by Step Solution
- Step 1: Write the proportion equation
111,728 : 234,946 = 234,946 : x - Step 2: Convert to fraction form
111,728/234,946 = 234,946/x - Step 3: Cross multiply
111,728x = 234,946 × 234,946 - Step 4: Simplify right side
111,728x = 55,199,622,916 - Step 5: Solve for x
x = 55,199,622,916/111,728 - Step 6: Final answer
x = 494,053.62
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.