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Finding the Third Proportional to 178,801 and 383,564

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Solution

The third proportional to 178,801 and 383,564 is: 822,821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,801 : 383,564 = 383,564 : x
  2. Step 2: Convert to fraction form
    178,801/383,564 = 383,564/x
  3. Step 3: Cross multiply
    178,801x = 383,564 × 383,564
  4. Step 4: Simplify right side
    178,801x = 147,121,342,096
  5. Step 5: Solve for x
    x = 147,121,342,096/178,801
  6. Step 6: Final answer
    x = 822,821.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.