Finding the Third Proportional to 142,008 and 222,764
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Solution
The third proportional to 142,008 and 222,764 is: 349,443.69
Step by Step Solution
- Step 1: Write the proportion equation
142,008 : 222,764 = 222,764 : x - Step 2: Convert to fraction form
142,008/222,764 = 222,764/x - Step 3: Cross multiply
142,008x = 222,764 × 222,764 - Step 4: Simplify right side
142,008x = 49,623,799,696 - Step 5: Solve for x
x = 49,623,799,696/142,008 - Step 6: Final answer
x = 349,443.69
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.