Finding the Third Proportional to 208,164 and 457,800
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Solution
The third proportional to 208,164 and 457,800 is: 1,006,806.36
Step by Step Solution
- Step 1: Write the proportion equation
208,164 : 457,800 = 457,800 : x - Step 2: Convert to fraction form
208,164/457,800 = 457,800/x - Step 3: Cross multiply
208,164x = 457,800 × 457,800 - Step 4: Simplify right side
208,164x = 209,580,840,000 - Step 5: Solve for x
x = 209,580,840,000/208,164 - Step 6: Final answer
x = 1,006,806.36
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.