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Finding the Third Proportional to 135,843 and 295,014

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Solution

The third proportional to 135,843 and 295,014 is: 640,690.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,843 : 295,014 = 295,014 : x
  2. Step 2: Convert to fraction form
    135,843/295,014 = 295,014/x
  3. Step 3: Cross multiply
    135,843x = 295,014 × 295,014
  4. Step 4: Simplify right side
    135,843x = 87,033,260,196
  5. Step 5: Solve for x
    x = 87,033,260,196/135,843
  6. Step 6: Final answer
    x = 640,690.06

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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.