Finding the Third Proportional to 144,414 and 312,880
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Solution
The third proportional to 144,414 and 312,880 is: 677,869.84
Step by Step Solution
- Step 1: Write the proportion equation
144,414 : 312,880 = 312,880 : x - Step 2: Convert to fraction form
144,414/312,880 = 312,880/x - Step 3: Cross multiply
144,414x = 312,880 × 312,880 - Step 4: Simplify right side
144,414x = 97,893,894,400 - Step 5: Solve for x
x = 97,893,894,400/144,414 - Step 6: Final answer
x = 677,869.84
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.