Finding the Third Proportional to 107,000 and 227,824
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Solution
The third proportional to 107,000 and 227,824 is: 485,082.01
Step by Step Solution
- Step 1: Write the proportion equation
107,000 : 227,824 = 227,824 : x - Step 2: Convert to fraction form
107,000/227,824 = 227,824/x - Step 3: Cross multiply
107,000x = 227,824 × 227,824 - Step 4: Simplify right side
107,000x = 51,903,774,976 - Step 5: Solve for x
x = 51,903,774,976/107,000 - Step 6: Final answer
x = 485,082.01
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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.