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Finding the Third Proportional to 176,256 and 234,944

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Solution

The third proportional to 176,256 and 234,944 is: 313,173.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,256 : 234,944 = 234,944 : x
  2. Step 2: Convert to fraction form
    176,256/234,944 = 234,944/x
  3. Step 3: Cross multiply
    176,256x = 234,944 × 234,944
  4. Step 4: Simplify right side
    176,256x = 55,198,683,136
  5. Step 5: Solve for x
    x = 55,198,683,136/176,256
  6. Step 6: Final answer
    x = 313,173.36

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.