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Finding the Third Proportional to 180,869 and 247,849

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Solution

The third proportional to 180,869 and 247,849 is: 339,633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,869 : 247,849 = 247,849 : x
  2. Step 2: Convert to fraction form
    180,869/247,849 = 247,849/x
  3. Step 3: Cross multiply
    180,869x = 247,849 × 247,849
  4. Step 4: Simplify right side
    180,869x = 61,429,126,801
  5. Step 5: Solve for x
    x = 61,429,126,801/180,869
  6. Step 6: Final answer
    x = 339,633.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.