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Finding the Third Proportional to 239,756 and 360,249

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Solution

The third proportional to 239,756 and 360,249 is: 541,297.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,756 : 360,249 = 360,249 : x
  2. Step 2: Convert to fraction form
    239,756/360,249 = 360,249/x
  3. Step 3: Cross multiply
    239,756x = 360,249 × 360,249
  4. Step 4: Simplify right side
    239,756x = 129,779,342,001
  5. Step 5: Solve for x
    x = 129,779,342,001/239,756
  6. Step 6: Final answer
    x = 541,297.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.