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Finding the Third Proportional to 104,104 and 231,500

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Solution

The third proportional to 104,104 and 231,500 is: 514,795.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,104 : 231,500 = 231,500 : x
  2. Step 2: Convert to fraction form
    104,104/231,500 = 231,500/x
  3. Step 3: Cross multiply
    104,104x = 231,500 × 231,500
  4. Step 4: Simplify right side
    104,104x = 53,592,250,000
  5. Step 5: Solve for x
    x = 53,592,250,000/104,104
  6. Step 6: Final answer
    x = 514,795.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.