Finding the Third Proportional to 144,992 and 204,184
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Solution
The third proportional to 144,992 and 204,184 is: 287,540.73
Step by Step Solution
- Step 1: Write the proportion equation
144,992 : 204,184 = 204,184 : x - Step 2: Convert to fraction form
144,992/204,184 = 204,184/x - Step 3: Cross multiply
144,992x = 204,184 × 204,184 - Step 4: Simplify right side
144,992x = 41,691,105,856 - Step 5: Solve for x
x = 41,691,105,856/144,992 - Step 6: Final answer
x = 287,540.73
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.