Finding the Third Proportional to 123,840 and 271,412
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Solution
The third proportional to 123,840 and 271,412 is: 594,835.87
Step by Step Solution
- Step 1: Write the proportion equation
123,840 : 271,412 = 271,412 : x - Step 2: Convert to fraction form
123,840/271,412 = 271,412/x - Step 3: Cross multiply
123,840x = 271,412 × 271,412 - Step 4: Simplify right side
123,840x = 73,664,473,744 - Step 5: Solve for x
x = 73,664,473,744/123,840 - Step 6: Final answer
x = 594,835.87
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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.