Finding the Third Proportional to 144,180 and 308,286
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Solution
The third proportional to 144,180 and 308,286 is: 659,177.82
Step by Step Solution
- Step 1: Write the proportion equation
144,180 : 308,286 = 308,286 : x - Step 2: Convert to fraction form
144,180/308,286 = 308,286/x - Step 3: Cross multiply
144,180x = 308,286 × 308,286 - Step 4: Simplify right side
144,180x = 95,040,257,796 - Step 5: Solve for x
x = 95,040,257,796/144,180 - Step 6: Final answer
x = 659,177.82
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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.