Finding the Third Proportional to 208,156 and 491,218
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Solution
The third proportional to 208,156 and 491,218 is: 1,159,203.31
Step by Step Solution
- Step 1: Write the proportion equation
208,156 : 491,218 = 491,218 : x - Step 2: Convert to fraction form
208,156/491,218 = 491,218/x - Step 3: Cross multiply
208,156x = 491,218 × 491,218 - Step 4: Simplify right side
208,156x = 241,295,123,524 - Step 5: Solve for x
x = 241,295,123,524/208,156 - Step 6: Final answer
x = 1,159,203.31
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.