Finding the Third Proportional to 202,966 and 315,492
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Solution
The third proportional to 202,966 and 315,492 is: 490,403.33
Step by Step Solution
- Step 1: Write the proportion equation
202,966 : 315,492 = 315,492 : x - Step 2: Convert to fraction form
202,966/315,492 = 315,492/x - Step 3: Cross multiply
202,966x = 315,492 × 315,492 - Step 4: Simplify right side
202,966x = 99,535,202,064 - Step 5: Solve for x
x = 99,535,202,064/202,966 - Step 6: Final answer
x = 490,403.33
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.