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Finding the Third Proportional to 167,116 and 360,869

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Solution

The third proportional to 167,116 and 360,869 is: 779,257.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,116 : 360,869 = 360,869 : x
  2. Step 2: Convert to fraction form
    167,116/360,869 = 360,869/x
  3. Step 3: Cross multiply
    167,116x = 360,869 × 360,869
  4. Step 4: Simplify right side
    167,116x = 130,226,435,161
  5. Step 5: Solve for x
    x = 130,226,435,161/167,116
  6. Step 6: Final answer
    x = 779,257.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.