Finding the Third Proportional to 238,236 and 511,002
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Solution
The third proportional to 238,236 and 511,002 is: 1,096,068.79
Step by Step Solution
- Step 1: Write the proportion equation
238,236 : 511,002 = 511,002 : x - Step 2: Convert to fraction form
238,236/511,002 = 511,002/x - Step 3: Cross multiply
238,236x = 511,002 × 511,002 - Step 4: Simplify right side
238,236x = 261,123,044,004 - Step 5: Solve for x
x = 261,123,044,004/238,236 - Step 6: Final answer
x = 1,096,068.79
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.