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Finding the Third Proportional to 167,869 and 360,584

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Solution

The third proportional to 167,869 and 360,584 is: 774,537.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,869 : 360,584 = 360,584 : x
  2. Step 2: Convert to fraction form
    167,869/360,584 = 360,584/x
  3. Step 3: Cross multiply
    167,869x = 360,584 × 360,584
  4. Step 4: Simplify right side
    167,869x = 130,020,821,056
  5. Step 5: Solve for x
    x = 130,020,821,056/167,869
  6. Step 6: Final answer
    x = 774,537.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.