Finding the Third Proportional to 178,238 and 396,323
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Solution
The third proportional to 178,238 and 396,323 is: 881,248.22
Step by Step Solution
- Step 1: Write the proportion equation
178,238 : 396,323 = 396,323 : x - Step 2: Convert to fraction form
178,238/396,323 = 396,323/x - Step 3: Cross multiply
178,238x = 396,323 × 396,323 - Step 4: Simplify right side
178,238x = 157,071,920,329 - Step 5: Solve for x
x = 157,071,920,329/178,238 - Step 6: Final answer
x = 881,248.22
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.