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Finding the Third Proportional to 140,869 and 332,200

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Solution

The third proportional to 140,869 and 332,200 is: 783,400.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,869 : 332,200 = 332,200 : x
  2. Step 2: Convert to fraction form
    140,869/332,200 = 332,200/x
  3. Step 3: Cross multiply
    140,869x = 332,200 × 332,200
  4. Step 4: Simplify right side
    140,869x = 110,356,840,000
  5. Step 5: Solve for x
    x = 110,356,840,000/140,869
  6. Step 6: Final answer
    x = 783,400.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.