Finding the Third Proportional to 82,258 and 179,257
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Solution
The third proportional to 82,258 and 179,257 is: 390,637.65
Step by Step Solution
- Step 1: Write the proportion equation
82,258 : 179,257 = 179,257 : x - Step 2: Convert to fraction form
82,258/179,257 = 179,257/x - Step 3: Cross multiply
82,258x = 179,257 × 179,257 - Step 4: Simplify right side
82,258x = 32,133,072,049 - Step 5: Solve for x
x = 32,133,072,049/82,258 - Step 6: Final answer
x = 390,637.65
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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.