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Finding the Third Proportional to 178,449 and 244,692

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Solution

The third proportional to 178,449 and 244,692 is: 335,525.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,449 : 244,692 = 244,692 : x
  2. Step 2: Convert to fraction form
    178,449/244,692 = 244,692/x
  3. Step 3: Cross multiply
    178,449x = 244,692 × 244,692
  4. Step 4: Simplify right side
    178,449x = 59,874,174,864
  5. Step 5: Solve for x
    x = 59,874,174,864/178,449
  6. Step 6: Final answer
    x = 335,525.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.