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Finding the Third Proportional to 178,164 and 383,976

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Solution

The third proportional to 178,164 and 383,976 is: 827,538.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,164 : 383,976 = 383,976 : x
  2. Step 2: Convert to fraction form
    178,164/383,976 = 383,976/x
  3. Step 3: Cross multiply
    178,164x = 383,976 × 383,976
  4. Step 4: Simplify right side
    178,164x = 147,437,568,576
  5. Step 5: Solve for x
    x = 147,437,568,576/178,164
  6. Step 6: Final answer
    x = 827,538.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.