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Finding the Third Proportional to 113,977 and 248,933

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Solution

The third proportional to 113,977 and 248,933 is: 543,685.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,977 : 248,933 = 248,933 : x
  2. Step 2: Convert to fraction form
    113,977/248,933 = 248,933/x
  3. Step 3: Cross multiply
    113,977x = 248,933 × 248,933
  4. Step 4: Simplify right side
    113,977x = 61,967,638,489
  5. Step 5: Solve for x
    x = 61,967,638,489/113,977
  6. Step 6: Final answer
    x = 543,685.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.