Finding the Third Proportional to 103,198 and 226,382
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Solution
The third proportional to 103,198 and 226,382 is: 496,606.62
Step by Step Solution
- Step 1: Write the proportion equation
103,198 : 226,382 = 226,382 : x - Step 2: Convert to fraction form
103,198/226,382 = 226,382/x - Step 3: Cross multiply
103,198x = 226,382 × 226,382 - Step 4: Simplify right side
103,198x = 51,248,809,924 - Step 5: Solve for x
x = 51,248,809,924/103,198 - Step 6: Final answer
x = 496,606.62
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.