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Finding the Third Proportional to 178,388 and 276,366

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Solution

The third proportional to 178,388 and 276,366 is: 428,157.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,388 : 276,366 = 276,366 : x
  2. Step 2: Convert to fraction form
    178,388/276,366 = 276,366/x
  3. Step 3: Cross multiply
    178,388x = 276,366 × 276,366
  4. Step 4: Simplify right side
    178,388x = 76,378,165,956
  5. Step 5: Solve for x
    x = 76,378,165,956/178,388
  6. Step 6: Final answer
    x = 428,157.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.