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Finding the Third Proportional to 114,483 and 246,462

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Solution

The third proportional to 114,483 and 246,462 is: 530,589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,483 : 246,462 = 246,462 : x
  2. Step 2: Convert to fraction form
    114,483/246,462 = 246,462/x
  3. Step 3: Cross multiply
    114,483x = 246,462 × 246,462
  4. Step 4: Simplify right side
    114,483x = 60,743,517,444
  5. Step 5: Solve for x
    x = 60,743,517,444/114,483
  6. Step 6: Final answer
    x = 530,589.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.