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Finding the Third Proportional to 236,256 and 341,136

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Solution

The third proportional to 236,256 and 341,136 is: 492,574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,256 : 341,136 = 341,136 : x
  2. Step 2: Convert to fraction form
    236,256/341,136 = 341,136/x
  3. Step 3: Cross multiply
    236,256x = 341,136 × 341,136
  4. Step 4: Simplify right side
    236,256x = 116,373,770,496
  5. Step 5: Solve for x
    x = 116,373,770,496/236,256
  6. Step 6: Final answer
    x = 492,574.88

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.