Finding the Third Proportional to 106,408.69 and 177,348.09
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Solution
The third proportional to 106,408.69 and 177,348.09 is: 295,580.63
Step by Step Solution
- Step 1: Write the proportion equation
106,408.69 : 177,348.09 = 177,348.09 : x - Step 2: Convert to fraction form
106,408.69/177,348.09 = 177,348.09/x - Step 3: Cross multiply
106,408.69x = 177,348.09 × 177,348.09 - Step 4: Simplify right side
106,408.69x = 31,452,346,356.76 - Step 5: Solve for x
x = 31,452,346,356.76/106,408.69 - Step 6: Final answer
x = 295,580.63
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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.