Finding the Third Proportional to 225,306 and 492,162
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Solution
The third proportional to 225,306 and 492,162 is: 1,075,086.48
Step by Step Solution
- Step 1: Write the proportion equation
225,306 : 492,162 = 492,162 : x - Step 2: Convert to fraction form
225,306/492,162 = 492,162/x - Step 3: Cross multiply
225,306x = 492,162 × 492,162 - Step 4: Simplify right side
225,306x = 242,223,434,244 - Step 5: Solve for x
x = 242,223,434,244/225,306 - Step 6: Final answer
x = 1,075,086.48
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.