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Finding the Third Proportional to 254,124 and 339,714

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Solution

The third proportional to 254,124 and 339,714 is: 454,131.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,124 : 339,714 = 339,714 : x
  2. Step 2: Convert to fraction form
    254,124/339,714 = 339,714/x
  3. Step 3: Cross multiply
    254,124x = 339,714 × 339,714
  4. Step 4: Simplify right side
    254,124x = 115,405,601,796
  5. Step 5: Solve for x
    x = 115,405,601,796/254,124
  6. Step 6: Final answer
    x = 454,131.06

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.