Finding the Third Proportional to 128,128 and 271,024
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Solution
The third proportional to 128,128 and 271,024 is: 573,286.16
Step by Step Solution
- Step 1: Write the proportion equation
128,128 : 271,024 = 271,024 : x - Step 2: Convert to fraction form
128,128/271,024 = 271,024/x - Step 3: Cross multiply
128,128x = 271,024 × 271,024 - Step 4: Simplify right side
128,128x = 73,454,008,576 - Step 5: Solve for x
x = 73,454,008,576/128,128 - Step 6: Final answer
x = 573,286.16
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.