Finding the Third Proportional to 219,220 and 478,156
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Solution
The third proportional to 219,220 and 478,156 is: 1,042,939.33
Step by Step Solution
- Step 1: Write the proportion equation
219,220 : 478,156 = 478,156 : x - Step 2: Convert to fraction form
219,220/478,156 = 478,156/x - Step 3: Cross multiply
219,220x = 478,156 × 478,156 - Step 4: Simplify right side
219,220x = 228,633,160,336 - Step 5: Solve for x
x = 228,633,160,336/219,220 - Step 6: Final answer
x = 1,042,939.33
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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.