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Finding the Third Proportional to 176,512 and 269,384

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Solution

The third proportional to 176,512 and 269,384 is: 411,120.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,512 : 269,384 = 269,384 : x
  2. Step 2: Convert to fraction form
    176,512/269,384 = 269,384/x
  3. Step 3: Cross multiply
    176,512x = 269,384 × 269,384
  4. Step 4: Simplify right side
    176,512x = 72,567,739,456
  5. Step 5: Solve for x
    x = 72,567,739,456/176,512
  6. Step 6: Final answer
    x = 411,120.71

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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.