Finding the Third Proportional to 205,352 and 307,176
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Solution
The third proportional to 205,352 and 307,176 is: 459,489.53
Step by Step Solution
- Step 1: Write the proportion equation
205,352 : 307,176 = 307,176 : x - Step 2: Convert to fraction form
205,352/307,176 = 307,176/x - Step 3: Cross multiply
205,352x = 307,176 × 307,176 - Step 4: Simplify right side
205,352x = 94,357,094,976 - Step 5: Solve for x
x = 94,357,094,976/205,352 - Step 6: Final answer
x = 459,489.53
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.