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Finding the Third Proportional to 129,440 and 269,936

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Solution

The third proportional to 129,440 and 269,936 is: 562,928.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,440 : 269,936 = 269,936 : x
  2. Step 2: Convert to fraction form
    129,440/269,936 = 269,936/x
  3. Step 3: Cross multiply
    129,440x = 269,936 × 269,936
  4. Step 4: Simplify right side
    129,440x = 72,865,444,096
  5. Step 5: Solve for x
    x = 72,865,444,096/129,440
  6. Step 6: Final answer
    x = 562,928.34

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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.