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Finding the Third Proportional to 178,811 and 383,583

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Solution

The third proportional to 178,811 and 383,583 is: 822,857.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,811 : 383,583 = 383,583 : x
  2. Step 2: Convert to fraction form
    178,811/383,583 = 383,583/x
  3. Step 3: Cross multiply
    178,811x = 383,583 × 383,583
  4. Step 4: Simplify right side
    178,811x = 147,135,917,889
  5. Step 5: Solve for x
    x = 147,135,917,889/178,811
  6. Step 6: Final answer
    x = 822,857.19

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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.