Finding the Third Proportional to 200,769 and 275,295
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Solution
The third proportional to 200,769 and 275,295 is: 377,485.25
Step by Step Solution
- Step 1: Write the proportion equation
200,769 : 275,295 = 275,295 : x - Step 2: Convert to fraction form
200,769/275,295 = 275,295/x - Step 3: Cross multiply
200,769x = 275,295 × 275,295 - Step 4: Simplify right side
200,769x = 75,787,337,025 - Step 5: Solve for x
x = 75,787,337,025/200,769 - Step 6: Final answer
x = 377,485.25
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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.