Finding the Third Proportional to 216,000 and 470,736
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Solution
The third proportional to 216,000 and 470,736 is: 1,025,890.66
Step by Step Solution
- Step 1: Write the proportion equation
216,000 : 470,736 = 470,736 : x - Step 2: Convert to fraction form
216,000/470,736 = 470,736/x - Step 3: Cross multiply
216,000x = 470,736 × 470,736 - Step 4: Simplify right side
216,000x = 221,592,381,696 - Step 5: Solve for x
x = 221,592,381,696/216,000 - Step 6: Final answer
x = 1,025,890.66
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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.