Finding the Third Proportional to 106,046 and 230,752
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Solution
The third proportional to 106,046 and 230,752 is: 502,107.44
Step by Step Solution
- Step 1: Write the proportion equation
106,046 : 230,752 = 230,752 : x - Step 2: Convert to fraction form
106,046/230,752 = 230,752/x - Step 3: Cross multiply
106,046x = 230,752 × 230,752 - Step 4: Simplify right side
106,046x = 53,246,485,504 - Step 5: Solve for x
x = 53,246,485,504/106,046 - Step 6: Final answer
x = 502,107.44
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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.