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Finding the Third Proportional to 178,800 and 383,562

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Solution

The third proportional to 178,800 and 383,562 is: 822,817.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,800 : 383,562 = 383,562 : x
  2. Step 2: Convert to fraction form
    178,800/383,562 = 383,562/x
  3. Step 3: Cross multiply
    178,800x = 383,562 × 383,562
  4. Step 4: Simplify right side
    178,800x = 147,119,807,844
  5. Step 5: Solve for x
    x = 147,119,807,844/178,800
  6. Step 6: Final answer
    x = 822,817.72

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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.