Finding the Third Proportional to 172,836 and 282,224
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Solution
The third proportional to 172,836 and 282,224 is: 460,843.73
Step by Step Solution
- Step 1: Write the proportion equation
172,836 : 282,224 = 282,224 : x - Step 2: Convert to fraction form
172,836/282,224 = 282,224/x - Step 3: Cross multiply
172,836x = 282,224 × 282,224 - Step 4: Simplify right side
172,836x = 79,650,386,176 - Step 5: Solve for x
x = 79,650,386,176/172,836 - Step 6: Final answer
x = 460,843.73
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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.