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Finding the Third Proportional to 250,608 and 383,851

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Solution

The third proportional to 250,608 and 383,851 is: 587,936.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,608 : 383,851 = 383,851 : x
  2. Step 2: Convert to fraction form
    250,608/383,851 = 383,851/x
  3. Step 3: Cross multiply
    250,608x = 383,851 × 383,851
  4. Step 4: Simplify right side
    250,608x = 147,341,590,201
  5. Step 5: Solve for x
    x = 147,341,590,201/250,608
  6. Step 6: Final answer
    x = 587,936.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.