Finding the Third Proportional to 132,696 and 205,470
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Solution
The third proportional to 132,696 and 205,470 is: 318,155.19
Step by Step Solution
- Step 1: Write the proportion equation
132,696 : 205,470 = 205,470 : x - Step 2: Convert to fraction form
132,696/205,470 = 205,470/x - Step 3: Cross multiply
132,696x = 205,470 × 205,470 - Step 4: Simplify right side
132,696x = 42,217,920,900 - Step 5: Solve for x
x = 42,217,920,900/132,696 - Step 6: Final answer
x = 318,155.19
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.