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Finding the Third Proportional to 108,284 and 260,867

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Solution

The third proportional to 108,284 and 260,867 is: 628,454.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,284 : 260,867 = 260,867 : x
  2. Step 2: Convert to fraction form
    108,284/260,867 = 260,867/x
  3. Step 3: Cross multiply
    108,284x = 260,867 × 260,867
  4. Step 4: Simplify right side
    108,284x = 68,051,591,689
  5. Step 5: Solve for x
    x = 68,051,591,689/108,284
  6. Step 6: Final answer
    x = 628,454.73

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.