Finding the Third Proportional to 176,529 and 269,412
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Solution
The third proportional to 176,529 and 269,412 is: 411,166.58
Step by Step Solution
- Step 1: Write the proportion equation
176,529 : 269,412 = 269,412 : x - Step 2: Convert to fraction form
176,529/269,412 = 269,412/x - Step 3: Cross multiply
176,529x = 269,412 × 269,412 - Step 4: Simplify right side
176,529x = 72,582,825,744 - Step 5: Solve for x
x = 72,582,825,744/176,529 - Step 6: Final answer
x = 411,166.58
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.