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Finding the Third Proportional to 166,938 and 255,933

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Solution

The third proportional to 166,938 and 255,933 is: 392,371.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,938 : 255,933 = 255,933 : x
  2. Step 2: Convert to fraction form
    166,938/255,933 = 255,933/x
  3. Step 3: Cross multiply
    166,938x = 255,933 × 255,933
  4. Step 4: Simplify right side
    166,938x = 65,501,700,489
  5. Step 5: Solve for x
    x = 65,501,700,489/166,938
  6. Step 6: Final answer
    x = 392,371.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.