Finding the Third Proportional to 76,029.75 and 176,199.75
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Solution
The third proportional to 76,029.75 and 176,199.75 is: 408,344.78
Step by Step Solution
- Step 1: Write the proportion equation
76,029.75 : 176,199.75 = 176,199.75 : x - Step 2: Convert to fraction form
76,029.75/176,199.75 = 176,199.75/x - Step 3: Cross multiply
76,029.75x = 176,199.75 × 176,199.75 - Step 4: Simplify right side
76,029.75x = 31,046,351,900.06 - Step 5: Solve for x
x = 31,046,351,900.06/76,029.75 - Step 6: Final answer
x = 408,344.78
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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.