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Finding the Third Proportional to 178,436 and 387,976

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Solution

The third proportional to 178,436 and 387,976 is: 843,581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,436 : 387,976 = 387,976 : x
  2. Step 2: Convert to fraction form
    178,436/387,976 = 387,976/x
  3. Step 3: Cross multiply
    178,436x = 387,976 × 387,976
  4. Step 4: Simplify right side
    178,436x = 150,525,376,576
  5. Step 5: Solve for x
    x = 150,525,376,576/178,436
  6. Step 6: Final answer
    x = 843,581.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.