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Finding the Third Proportional to 104,869 and 224,500

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Solution

The third proportional to 104,869 and 224,500 is: 480,601.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,869 : 224,500 = 224,500 : x
  2. Step 2: Convert to fraction form
    104,869/224,500 = 224,500/x
  3. Step 3: Cross multiply
    104,869x = 224,500 × 224,500
  4. Step 4: Simplify right side
    104,869x = 50,400,250,000
  5. Step 5: Solve for x
    x = 50,400,250,000/104,869
  6. Step 6: Final answer
    x = 480,601.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.