Finding the Third Proportional to 235,082 and 516,814
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Solution
The third proportional to 235,082 and 516,814 is: 1,136,185.29
Step by Step Solution
- Step 1: Write the proportion equation
235,082 : 516,814 = 516,814 : x - Step 2: Convert to fraction form
235,082/516,814 = 516,814/x - Step 3: Cross multiply
235,082x = 516,814 × 516,814 - Step 4: Simplify right side
235,082x = 267,096,710,596 - Step 5: Solve for x
x = 267,096,710,596/235,082 - Step 6: Final answer
x = 1,136,185.29
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.