Finding the Third Proportional to 218,128 and 461,406
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Solution
The third proportional to 218,128 and 461,406 is: 976,011.78
Step by Step Solution
- Step 1: Write the proportion equation
218,128 : 461,406 = 461,406 : x - Step 2: Convert to fraction form
218,128/461,406 = 461,406/x - Step 3: Cross multiply
218,128x = 461,406 × 461,406 - Step 4: Simplify right side
218,128x = 212,895,496,836 - Step 5: Solve for x
x = 212,895,496,836/218,128 - Step 6: Final answer
x = 976,011.78
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.