Finding the Third Proportional to 74,865 and 163,824
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Solution
The third proportional to 74,865 and 163,824 is: 358,489.32
Step by Step Solution
- Step 1: Write the proportion equation
74,865 : 163,824 = 163,824 : x - Step 2: Convert to fraction form
74,865/163,824 = 163,824/x - Step 3: Cross multiply
74,865x = 163,824 × 163,824 - Step 4: Simplify right side
74,865x = 26,838,302,976 - Step 5: Solve for x
x = 26,838,302,976/74,865 - Step 6: Final answer
x = 358,489.32
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.