Finding the Third Proportional to 176,516 and 416,348
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Solution
The third proportional to 176,516 and 416,348 is: 982,039.35
Step by Step Solution
- Step 1: Write the proportion equation
176,516 : 416,348 = 416,348 : x - Step 2: Convert to fraction form
176,516/416,348 = 416,348/x - Step 3: Cross multiply
176,516x = 416,348 × 416,348 - Step 4: Simplify right side
176,516x = 173,345,657,104 - Step 5: Solve for x
x = 173,345,657,104/176,516 - Step 6: Final answer
x = 982,039.35
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.