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Finding the Third Proportional to 178,472 and 237,936

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Solution

The third proportional to 178,472 and 237,936 is: 317,212.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,472 : 237,936 = 237,936 : x
  2. Step 2: Convert to fraction form
    178,472/237,936 = 237,936/x
  3. Step 3: Cross multiply
    178,472x = 237,936 × 237,936
  4. Step 4: Simplify right side
    178,472x = 56,613,540,096
  5. Step 5: Solve for x
    x = 56,613,540,096/178,472
  6. Step 6: Final answer
    x = 317,212.45

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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.