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Finding the Third Proportional to 271,471.50 and 296,082

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Solution

The third proportional to 271,471.50 and 296,082 is: 322,923.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,471.50 : 296,082 = 296,082 : x
  2. Step 2: Convert to fraction form
    271,471.50/296,082 = 296,082/x
  3. Step 3: Cross multiply
    271,471.50x = 296,082 × 296,082
  4. Step 4: Simplify right side
    271,471.50x = 87,664,550,724
  5. Step 5: Solve for x
    x = 87,664,550,724/271,471.50
  6. Step 6: Final answer
    x = 322,923.59

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.