Finding the Third Proportional to 82,368 and 180,774
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Solution
The third proportional to 82,368 and 180,774 is: 396,746.78
Step by Step Solution
- Step 1: Write the proportion equation
82,368 : 180,774 = 180,774 : x - Step 2: Convert to fraction form
82,368/180,774 = 180,774/x - Step 3: Cross multiply
82,368x = 180,774 × 180,774 - Step 4: Simplify right side
82,368x = 32,679,239,076 - Step 5: Solve for x
x = 32,679,239,076/82,368 - Step 6: Final answer
x = 396,746.78
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.