Finding the Third Proportional to 82,430 and 176,521
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Solution
The third proportional to 82,430 and 176,521 is: 378,013.63
Step by Step Solution
- Step 1: Write the proportion equation
82,430 : 176,521 = 176,521 : x - Step 2: Convert to fraction form
82,430/176,521 = 176,521/x - Step 3: Cross multiply
82,430x = 176,521 × 176,521 - Step 4: Simplify right side
82,430x = 31,159,663,441 - Step 5: Solve for x
x = 31,159,663,441/82,430 - Step 6: Final answer
x = 378,013.63
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.