Finding the Third Proportional to 141,584 and 213,469
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Solution
The third proportional to 141,584 and 213,469 is: 321,851.44
Step by Step Solution
- Step 1: Write the proportion equation
141,584 : 213,469 = 213,469 : x - Step 2: Convert to fraction form
141,584/213,469 = 213,469/x - Step 3: Cross multiply
141,584x = 213,469 × 213,469 - Step 4: Simplify right side
141,584x = 45,569,013,961 - Step 5: Solve for x
x = 45,569,013,961/141,584 - Step 6: Final answer
x = 321,851.44
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.