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Finding the Third Proportional to 176,512 and 416,256

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Solution

The third proportional to 176,512 and 416,256 is: 981,627.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,512 : 416,256 = 416,256 : x
  2. Step 2: Convert to fraction form
    176,512/416,256 = 416,256/x
  3. Step 3: Cross multiply
    176,512x = 416,256 × 416,256
  4. Step 4: Simplify right side
    176,512x = 173,269,057,536
  5. Step 5: Solve for x
    x = 173,269,057,536/176,512
  6. Step 6: Final answer
    x = 981,627.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.