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Finding the Third Proportional to 210,422 and 295,975

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Solution

The third proportional to 210,422 and 295,975 is: 416,311.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,422 : 295,975 = 295,975 : x
  2. Step 2: Convert to fraction form
    210,422/295,975 = 295,975/x
  3. Step 3: Cross multiply
    210,422x = 295,975 × 295,975
  4. Step 4: Simplify right side
    210,422x = 87,601,200,625
  5. Step 5: Solve for x
    x = 87,601,200,625/210,422
  6. Step 6: Final answer
    x = 416,311.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.