Finding the Third Proportional to 120,320 and 261,872
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Solution
The third proportional to 120,320 and 261,872 is: 569,954.66
Step by Step Solution
- Step 1: Write the proportion equation
120,320 : 261,872 = 261,872 : x - Step 2: Convert to fraction form
120,320/261,872 = 261,872/x - Step 3: Cross multiply
120,320x = 261,872 × 261,872 - Step 4: Simplify right side
120,320x = 68,576,944,384 - Step 5: Solve for x
x = 68,576,944,384/120,320 - Step 6: Final answer
x = 569,954.66
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.