Finding the Third Proportional to 230,408 and 329,484
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Solution
The third proportional to 230,408 and 329,484 is: 471,162.92
Step by Step Solution
- Step 1: Write the proportion equation
230,408 : 329,484 = 329,484 : x - Step 2: Convert to fraction form
230,408/329,484 = 329,484/x - Step 3: Cross multiply
230,408x = 329,484 × 329,484 - Step 4: Simplify right side
230,408x = 108,559,706,256 - Step 5: Solve for x
x = 108,559,706,256/230,408 - Step 6: Final answer
x = 471,162.92
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.