Finding the Third Proportional to 105,408 and 230,272
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Solution
The third proportional to 105,408 and 230,272 is: 503,047.15
Step by Step Solution
- Step 1: Write the proportion equation
105,408 : 230,272 = 230,272 : x - Step 2: Convert to fraction form
105,408/230,272 = 230,272/x - Step 3: Cross multiply
105,408x = 230,272 × 230,272 - Step 4: Simplify right side
105,408x = 53,025,193,984 - Step 5: Solve for x
x = 53,025,193,984/105,408 - Step 6: Final answer
x = 503,047.15
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.