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Finding the Third Proportional to 135,108 and 294,000

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Solution

The third proportional to 135,108 and 294,000 is: 639,754.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,108 : 294,000 = 294,000 : x
  2. Step 2: Convert to fraction form
    135,108/294,000 = 294,000/x
  3. Step 3: Cross multiply
    135,108x = 294,000 × 294,000
  4. Step 4: Simplify right side
    135,108x = 86,436,000,000
  5. Step 5: Solve for x
    x = 86,436,000,000/135,108
  6. Step 6: Final answer
    x = 639,754.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.