Finding the Third Proportional to 181,182 and 398,208
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Solution
The third proportional to 181,182 and 398,208 is: 875,195.17
Step by Step Solution
- Step 1: Write the proportion equation
181,182 : 398,208 = 398,208 : x - Step 2: Convert to fraction form
181,182/398,208 = 398,208/x - Step 3: Cross multiply
181,182x = 398,208 × 398,208 - Step 4: Simplify right side
181,182x = 158,569,611,264 - Step 5: Solve for x
x = 158,569,611,264/181,182 - Step 6: Final answer
x = 875,195.17
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.