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Finding the Third Proportional to 135,834 and 295,005

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Solution

The third proportional to 135,834 and 295,005 is: 640,693.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,834 : 295,005 = 295,005 : x
  2. Step 2: Convert to fraction form
    135,834/295,005 = 295,005/x
  3. Step 3: Cross multiply
    135,834x = 295,005 × 295,005
  4. Step 4: Simplify right side
    135,834x = 87,027,950,025
  5. Step 5: Solve for x
    x = 87,027,950,025/135,834
  6. Step 6: Final answer
    x = 640,693.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.