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Finding the Third Proportional to 280,155 and 419,242

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Solution

The third proportional to 280,155 and 419,242 is: 627,380.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,155 : 419,242 = 419,242 : x
  2. Step 2: Convert to fraction form
    280,155/419,242 = 419,242/x
  3. Step 3: Cross multiply
    280,155x = 419,242 × 419,242
  4. Step 4: Simplify right side
    280,155x = 175,763,854,564
  5. Step 5: Solve for x
    x = 175,763,854,564/280,155
  6. Step 6: Final answer
    x = 627,380.75

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