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Finding the Third Proportional to 150,206 and 231,933

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Solution

The third proportional to 150,206 and 231,933 is: 358,127.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,206 : 231,933 = 231,933 : x
  2. Step 2: Convert to fraction form
    150,206/231,933 = 231,933/x
  3. Step 3: Cross multiply
    150,206x = 231,933 × 231,933
  4. Step 4: Simplify right side
    150,206x = 53,792,916,489
  5. Step 5: Solve for x
    x = 53,792,916,489/150,206
  6. Step 6: Final answer
    x = 358,127.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.