Finding the Third Proportional to 203,972 and 286,730
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Solution
The third proportional to 203,972 and 286,730 is: 403,065.58
Step by Step Solution
- Step 1: Write the proportion equation
203,972 : 286,730 = 286,730 : x - Step 2: Convert to fraction form
203,972/286,730 = 286,730/x - Step 3: Cross multiply
203,972x = 286,730 × 286,730 - Step 4: Simplify right side
203,972x = 82,214,092,900 - Step 5: Solve for x
x = 82,214,092,900/203,972 - Step 6: Final answer
x = 403,065.58
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.