Finding the Third Proportional to 176,816 and 279,984
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Solution
The third proportional to 176,816 and 279,984 is: 443,348.11
Step by Step Solution
- Step 1: Write the proportion equation
176,816 : 279,984 = 279,984 : x - Step 2: Convert to fraction form
176,816/279,984 = 279,984/x - Step 3: Cross multiply
176,816x = 279,984 × 279,984 - Step 4: Simplify right side
176,816x = 78,391,040,256 - Step 5: Solve for x
x = 78,391,040,256/176,816 - Step 6: Final answer
x = 443,348.11
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.