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Finding the Third Proportional to 231,728 and 350,858

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Solution

The third proportional to 231,728 and 350,858 is: 531,232.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,728 : 350,858 = 350,858 : x
  2. Step 2: Convert to fraction form
    231,728/350,858 = 350,858/x
  3. Step 3: Cross multiply
    231,728x = 350,858 × 350,858
  4. Step 4: Simplify right side
    231,728x = 123,101,336,164
  5. Step 5: Solve for x
    x = 123,101,336,164/231,728
  6. Step 6: Final answer
    x = 531,232.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.