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Finding the Third Proportional to 178,648 and 276,494

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Solution

The third proportional to 178,648 and 276,494 is: 427,930.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,648 : 276,494 = 276,494 : x
  2. Step 2: Convert to fraction form
    178,648/276,494 = 276,494/x
  3. Step 3: Cross multiply
    178,648x = 276,494 × 276,494
  4. Step 4: Simplify right side
    178,648x = 76,448,932,036
  5. Step 5: Solve for x
    x = 76,448,932,036/178,648
  6. Step 6: Final answer
    x = 427,930.52

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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.