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Finding the Third Proportional to 106,636.50 and 246,867

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Solution

The third proportional to 106,636.50 and 246,867 is: 571,505.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,636.50 : 246,867 = 246,867 : x
  2. Step 2: Convert to fraction form
    106,636.50/246,867 = 246,867/x
  3. Step 3: Cross multiply
    106,636.50x = 246,867 × 246,867
  4. Step 4: Simplify right side
    106,636.50x = 60,943,315,689
  5. Step 5: Solve for x
    x = 60,943,315,689/106,636.50
  6. Step 6: Final answer
    x = 571,505.21

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.