Finding the Third Proportional to 92,306 and 200,164
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Solution
The third proportional to 92,306 and 200,164 is: 434,052.25
Step by Step Solution
- Step 1: Write the proportion equation
92,306 : 200,164 = 200,164 : x - Step 2: Convert to fraction form
92,306/200,164 = 200,164/x - Step 3: Cross multiply
92,306x = 200,164 × 200,164 - Step 4: Simplify right side
92,306x = 40,065,626,896 - Step 5: Solve for x
x = 40,065,626,896/92,306 - Step 6: Final answer
x = 434,052.25
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.