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Finding the Third Proportional to 115,592 and 238,936

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Solution

The third proportional to 115,592 and 238,936 is: 493,895.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,592 : 238,936 = 238,936 : x
  2. Step 2: Convert to fraction form
    115,592/238,936 = 238,936/x
  3. Step 3: Cross multiply
    115,592x = 238,936 × 238,936
  4. Step 4: Simplify right side
    115,592x = 57,090,412,096
  5. Step 5: Solve for x
    x = 57,090,412,096/115,592
  6. Step 6: Final answer
    x = 493,895.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.