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Finding the Third Proportional to 178,077 and 383,802

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Solution

The third proportional to 178,077 and 383,802 is: 827,192.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,077 : 383,802 = 383,802 : x
  2. Step 2: Convert to fraction form
    178,077/383,802 = 383,802/x
  3. Step 3: Cross multiply
    178,077x = 383,802 × 383,802
  4. Step 4: Simplify right side
    178,077x = 147,303,975,204
  5. Step 5: Solve for x
    x = 147,303,975,204/178,077
  6. Step 6: Final answer
    x = 827,192.59

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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.