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Finding the Third Proportional to 201,096 and 281,088

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Solution

The third proportional to 201,096 and 281,088 is: 392,899.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,096 : 281,088 = 281,088 : x
  2. Step 2: Convert to fraction form
    201,096/281,088 = 281,088/x
  3. Step 3: Cross multiply
    201,096x = 281,088 × 281,088
  4. Step 4: Simplify right side
    201,096x = 79,010,463,744
  5. Step 5: Solve for x
    x = 79,010,463,744/201,096
  6. Step 6: Final answer
    x = 392,899.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.