Finding the Third Proportional to 152,302 and 223,257
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Solution
The third proportional to 152,302 and 223,257 is: 327,268.77
Step by Step Solution
- Step 1: Write the proportion equation
152,302 : 223,257 = 223,257 : x - Step 2: Convert to fraction form
152,302/223,257 = 223,257/x - Step 3: Cross multiply
152,302x = 223,257 × 223,257 - Step 4: Simplify right side
152,302x = 49,843,688,049 - Step 5: Solve for x
x = 49,843,688,049/152,302 - Step 6: Final answer
x = 327,268.77
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.