Finding the Third Proportional to 162,238 and 242,008
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Solution
The third proportional to 162,238 and 242,008 is: 360,999.72
Step by Step Solution
- Step 1: Write the proportion equation
162,238 : 242,008 = 242,008 : x - Step 2: Convert to fraction form
162,238/242,008 = 242,008/x - Step 3: Cross multiply
162,238x = 242,008 × 242,008 - Step 4: Simplify right side
162,238x = 58,567,872,064 - Step 5: Solve for x
x = 58,567,872,064/162,238 - Step 6: Final answer
x = 360,999.72
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.