Finding the Third Proportional to 103,808 and 227,002
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Solution
The third proportional to 103,808 and 227,002 is: 496,396.31
Step by Step Solution
- Step 1: Write the proportion equation
103,808 : 227,002 = 227,002 : x - Step 2: Convert to fraction form
103,808/227,002 = 227,002/x - Step 3: Cross multiply
103,808x = 227,002 × 227,002 - Step 4: Simplify right side
103,808x = 51,529,908,004 - Step 5: Solve for x
x = 51,529,908,004/103,808 - Step 6: Final answer
x = 496,396.31
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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.