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Finding the Third Proportional to 116,967 and 238,171

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Solution

The third proportional to 116,967 and 238,171 is: 484,969.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,967 : 238,171 = 238,171 : x
  2. Step 2: Convert to fraction form
    116,967/238,171 = 238,171/x
  3. Step 3: Cross multiply
    116,967x = 238,171 × 238,171
  4. Step 4: Simplify right side
    116,967x = 56,725,425,241
  5. Step 5: Solve for x
    x = 56,725,425,241/116,967
  6. Step 6: Final answer
    x = 484,969.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.