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Finding the Third Proportional to 128,738 and 269,247

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Solution

The third proportional to 128,738 and 269,247 is: 563,112.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,738 : 269,247 = 269,247 : x
  2. Step 2: Convert to fraction form
    128,738/269,247 = 269,247/x
  3. Step 3: Cross multiply
    128,738x = 269,247 × 269,247
  4. Step 4: Simplify right side
    128,738x = 72,493,947,009
  5. Step 5: Solve for x
    x = 72,493,947,009/128,738
  6. Step 6: Final answer
    x = 563,112.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.