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Finding the Third Proportional to 168,339 and 280,533

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Solution

The third proportional to 168,339 and 280,533 is: 467,501.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,339 : 280,533 = 280,533 : x
  2. Step 2: Convert to fraction form
    168,339/280,533 = 280,533/x
  3. Step 3: Cross multiply
    168,339x = 280,533 × 280,533
  4. Step 4: Simplify right side
    168,339x = 78,698,764,089
  5. Step 5: Solve for x
    x = 78,698,764,089/168,339
  6. Step 6: Final answer
    x = 467,501.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.