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Finding the Third Proportional to 135,759 and 292,234.50

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Solution

The third proportional to 135,759 and 292,234.50 is: 629,063.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,759 : 292,234.50 = 292,234.50 : x
  2. Step 2: Convert to fraction form
    135,759/292,234.50 = 292,234.50/x
  3. Step 3: Cross multiply
    135,759x = 292,234.50 × 292,234.50
  4. Step 4: Simplify right side
    135,759x = 85,401,002,990.25
  5. Step 5: Solve for x
    x = 85,401,002,990.25/135,759
  6. Step 6: Final answer
    x = 629,063.29

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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.