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Finding the Third Proportional to 144,082 and 231,500

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Solution

The third proportional to 144,082 and 231,500 is: 371,956.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,082 : 231,500 = 231,500 : x
  2. Step 2: Convert to fraction form
    144,082/231,500 = 231,500/x
  3. Step 3: Cross multiply
    144,082x = 231,500 × 231,500
  4. Step 4: Simplify right side
    144,082x = 53,592,250,000
  5. Step 5: Solve for x
    x = 53,592,250,000/144,082
  6. Step 6: Final answer
    x = 371,956.59

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.