Finding the Third Proportional to 74,176 and 164,982
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Solution
The third proportional to 74,176 and 164,982 is: 366,952.39
Step by Step Solution
- Step 1: Write the proportion equation
74,176 : 164,982 = 164,982 : x - Step 2: Convert to fraction form
74,176/164,982 = 164,982/x - Step 3: Cross multiply
74,176x = 164,982 × 164,982 - Step 4: Simplify right side
74,176x = 27,219,060,324 - Step 5: Solve for x
x = 27,219,060,324/74,176 - Step 6: Final answer
x = 366,952.39
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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.