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Finding the Third Proportional to 116,964 and 246,149

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Solution

The third proportional to 116,964 and 246,149 is: 518,016.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,964 : 246,149 = 246,149 : x
  2. Step 2: Convert to fraction form
    116,964/246,149 = 246,149/x
  3. Step 3: Cross multiply
    116,964x = 246,149 × 246,149
  4. Step 4: Simplify right side
    116,964x = 60,589,330,201
  5. Step 5: Solve for x
    x = 60,589,330,201/116,964
  6. Step 6: Final answer
    x = 518,016.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.