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Finding the Third Proportional to 107,996 and 236,980

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Solution

The third proportional to 107,996 and 236,980 is: 520,014.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,996 : 236,980 = 236,980 : x
  2. Step 2: Convert to fraction form
    107,996/236,980 = 236,980/x
  3. Step 3: Cross multiply
    107,996x = 236,980 × 236,980
  4. Step 4: Simplify right side
    107,996x = 56,159,520,400
  5. Step 5: Solve for x
    x = 56,159,520,400/107,996
  6. Step 6: Final answer
    x = 520,014.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.