Finding the Third Proportional to 208,168 and 457,808
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Solution
The third proportional to 208,168 and 457,808 is: 1,006,822.21
Step by Step Solution
- Step 1: Write the proportion equation
208,168 : 457,808 = 457,808 : x - Step 2: Convert to fraction form
208,168/457,808 = 457,808/x - Step 3: Cross multiply
208,168x = 457,808 × 457,808 - Step 4: Simplify right side
208,168x = 209,588,164,864 - Step 5: Solve for x
x = 209,588,164,864/208,168 - Step 6: Final answer
x = 1,006,822.21
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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.