Finding the Third Proportional to 213,146 and 466,900
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Solution
The third proportional to 213,146 and 466,900 is: 1,022,752.53
Step by Step Solution
- Step 1: Write the proportion equation
213,146 : 466,900 = 466,900 : x - Step 2: Convert to fraction form
213,146/466,900 = 466,900/x - Step 3: Cross multiply
213,146x = 466,900 × 466,900 - Step 4: Simplify right side
213,146x = 217,995,610,000 - Step 5: Solve for x
x = 217,995,610,000/213,146 - Step 6: Final answer
x = 1,022,752.53
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.