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Finding the Third Proportional to 207,647 and 296,936

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Solution

The third proportional to 207,647 and 296,936 is: 424,619.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,647 : 296,936 = 296,936 : x
  2. Step 2: Convert to fraction form
    207,647/296,936 = 296,936/x
  3. Step 3: Cross multiply
    207,647x = 296,936 × 296,936
  4. Step 4: Simplify right side
    207,647x = 88,170,988,096
  5. Step 5: Solve for x
    x = 88,170,988,096/207,647
  6. Step 6: Final answer
    x = 424,619.61

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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.