Finding the Third Proportional to 142,676 and 303,784
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Solution
The third proportional to 142,676 and 303,784 is: 646,813.19
Step by Step Solution
- Step 1: Write the proportion equation
142,676 : 303,784 = 303,784 : x - Step 2: Convert to fraction form
142,676/303,784 = 303,784/x - Step 3: Cross multiply
142,676x = 303,784 × 303,784 - Step 4: Simplify right side
142,676x = 92,284,718,656 - Step 5: Solve for x
x = 92,284,718,656/142,676 - Step 6: Final answer
x = 646,813.19
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.