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Finding the Third Proportional to 180,326 and 280,694

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Solution

The third proportional to 180,326 and 280,694 is: 436,926.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,326 : 280,694 = 280,694 : x
  2. Step 2: Convert to fraction form
    180,326/280,694 = 280,694/x
  3. Step 3: Cross multiply
    180,326x = 280,694 × 280,694
  4. Step 4: Simplify right side
    180,326x = 78,789,121,636
  5. Step 5: Solve for x
    x = 78,789,121,636/180,326
  6. Step 6: Final answer
    x = 436,926.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.