Finding the Third Proportional to 180,384 and 402,176
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Solution
The third proportional to 180,384 and 402,176 is: 896,673.40
Step by Step Solution
- Step 1: Write the proportion equation
180,384 : 402,176 = 402,176 : x - Step 2: Convert to fraction form
180,384/402,176 = 402,176/x - Step 3: Cross multiply
180,384x = 402,176 × 402,176 - Step 4: Simplify right side
180,384x = 161,745,534,976 - Step 5: Solve for x
x = 161,745,534,976/180,384 - Step 6: Final answer
x = 896,673.40
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.