Finding the Third Proportional to 80,824 and 176,332
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Solution
The third proportional to 80,824 and 176,332 is: 384,699.77
Step by Step Solution
- Step 1: Write the proportion equation
80,824 : 176,332 = 176,332 : x - Step 2: Convert to fraction form
80,824/176,332 = 176,332/x - Step 3: Cross multiply
80,824x = 176,332 × 176,332 - Step 4: Simplify right side
80,824x = 31,092,974,224 - Step 5: Solve for x
x = 31,092,974,224/80,824 - Step 6: Final answer
x = 384,699.77
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.