Finding the Third Proportional to 252,216 and 516,096
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Solution
The third proportional to 252,216 and 516,096 is: 1,056,059.41
Step by Step Solution
- Step 1: Write the proportion equation
252,216 : 516,096 = 516,096 : x - Step 2: Convert to fraction form
252,216/516,096 = 516,096/x - Step 3: Cross multiply
252,216x = 516,096 × 516,096 - Step 4: Simplify right side
252,216x = 266,355,081,216 - Step 5: Solve for x
x = 266,355,081,216/252,216 - Step 6: Final answer
x = 1,056,059.41
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.