Finding the Third Proportional to 104,624 and 214,756
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Solution
The third proportional to 104,624 and 214,756 is: 440,817.97
Step by Step Solution
- Step 1: Write the proportion equation
104,624 : 214,756 = 214,756 : x - Step 2: Convert to fraction form
104,624/214,756 = 214,756/x - Step 3: Cross multiply
104,624x = 214,756 × 214,756 - Step 4: Simplify right side
104,624x = 46,120,139,536 - Step 5: Solve for x
x = 46,120,139,536/104,624 - Step 6: Final answer
x = 440,817.97
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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.