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Finding the Third Proportional to 135,753 and 292,404

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Solution

The third proportional to 135,753 and 292,404 is: 629,821.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,753 : 292,404 = 292,404 : x
  2. Step 2: Convert to fraction form
    135,753/292,404 = 292,404/x
  3. Step 3: Cross multiply
    135,753x = 292,404 × 292,404
  4. Step 4: Simplify right side
    135,753x = 85,500,099,216
  5. Step 5: Solve for x
    x = 85,500,099,216/135,753
  6. Step 6: Final answer
    x = 629,821.07

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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.