Finding the Third Proportional to 196,380 and 300,284
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Solution
The third proportional to 196,380 and 300,284 is: 459,163.26
Step by Step Solution
- Step 1: Write the proportion equation
196,380 : 300,284 = 300,284 : x - Step 2: Convert to fraction form
196,380/300,284 = 300,284/x - Step 3: Cross multiply
196,380x = 300,284 × 300,284 - Step 4: Simplify right side
196,380x = 90,170,480,656 - Step 5: Solve for x
x = 90,170,480,656/196,380 - Step 6: Final answer
x = 459,163.26
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.