Finding the Third Proportional to 180,270 and 383,832
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Solution
The third proportional to 180,270 and 383,832 is: 817,257.47
Step by Step Solution
- Step 1: Write the proportion equation
180,270 : 383,832 = 383,832 : x - Step 2: Convert to fraction form
180,270/383,832 = 383,832/x - Step 3: Cross multiply
180,270x = 383,832 × 383,832 - Step 4: Simplify right side
180,270x = 147,327,004,224 - Step 5: Solve for x
x = 147,327,004,224/180,270 - Step 6: Final answer
x = 817,257.47
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.