Finding the Third Proportional to 203,744 and 454,144
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Solution
The third proportional to 203,744 and 454,144 is: 1,012,283.91
Step by Step Solution
- Step 1: Write the proportion equation
203,744 : 454,144 = 454,144 : x - Step 2: Convert to fraction form
203,744/454,144 = 454,144/x - Step 3: Cross multiply
203,744x = 454,144 × 454,144 - Step 4: Simplify right side
203,744x = 206,246,772,736 - Step 5: Solve for x
x = 206,246,772,736/203,744 - Step 6: Final answer
x = 1,012,283.91
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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.