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Finding the Third Proportional to 189,714 and 253,760

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Solution

The third proportional to 189,714 and 253,760 is: 339,427.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,714 : 253,760 = 253,760 : x
  2. Step 2: Convert to fraction form
    189,714/253,760 = 253,760/x
  3. Step 3: Cross multiply
    189,714x = 253,760 × 253,760
  4. Step 4: Simplify right side
    189,714x = 64,394,137,600
  5. Step 5: Solve for x
    x = 64,394,137,600/189,714
  6. Step 6: Final answer
    x = 339,427.44

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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.