Finding the Third Proportional to 198,470 and 298,155
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Solution
The third proportional to 198,470 and 298,155 is: 447,908.52
Step by Step Solution
- Step 1: Write the proportion equation
198,470 : 298,155 = 298,155 : x - Step 2: Convert to fraction form
198,470/298,155 = 298,155/x - Step 3: Cross multiply
198,470x = 298,155 × 298,155 - Step 4: Simplify right side
198,470x = 88,896,404,025 - Step 5: Solve for x
x = 88,896,404,025/198,470 - Step 6: Final answer
x = 447,908.52
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.