Finding the Third Proportional to 119,414 and 186,384
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Solution
The third proportional to 119,414 and 186,384 is: 290,912.25
Step by Step Solution
- Step 1: Write the proportion equation
119,414 : 186,384 = 186,384 : x - Step 2: Convert to fraction form
119,414/186,384 = 186,384/x - Step 3: Cross multiply
119,414x = 186,384 × 186,384 - Step 4: Simplify right side
119,414x = 34,738,995,456 - Step 5: Solve for x
x = 34,738,995,456/119,414 - Step 6: Final answer
x = 290,912.25
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.