Finding the Third Proportional to 103,906.50 and 224,427
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Solution
The third proportional to 103,906.50 and 224,427 is: 484,738.47
Step by Step Solution
- Step 1: Write the proportion equation
103,906.50 : 224,427 = 224,427 : x - Step 2: Convert to fraction form
103,906.50/224,427 = 224,427/x - Step 3: Cross multiply
103,906.50x = 224,427 × 224,427 - Step 4: Simplify right side
103,906.50x = 50,367,478,329 - Step 5: Solve for x
x = 50,367,478,329/103,906.50 - Step 6: Final answer
x = 484,738.47
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.