Finding the Third Proportional to 200,456 and 466,132
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Solution
The third proportional to 200,456 and 466,132 is: 1,083,923.86
Step by Step Solution
- Step 1: Write the proportion equation
200,456 : 466,132 = 466,132 : x - Step 2: Convert to fraction form
200,456/466,132 = 466,132/x - Step 3: Cross multiply
200,456x = 466,132 × 466,132 - Step 4: Simplify right side
200,456x = 217,279,041,424 - Step 5: Solve for x
x = 217,279,041,424/200,456 - Step 6: Final answer
x = 1,083,923.86
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Why These Related Problems?
These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.