Finding the Third Proportional to 147,078 and 311,490
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Solution
The third proportional to 147,078 and 311,490 is: 659,690.91
Step by Step Solution
- Step 1: Write the proportion equation
147,078 : 311,490 = 311,490 : x - Step 2: Convert to fraction form
147,078/311,490 = 311,490/x - Step 3: Cross multiply
147,078x = 311,490 × 311,490 - Step 4: Simplify right side
147,078x = 97,026,020,100 - Step 5: Solve for x
x = 97,026,020,100/147,078 - Step 6: Final answer
x = 659,690.91
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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.