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Finding the Third Proportional to 189,722 and 253,875

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Solution

The third proportional to 189,722 and 253,875 is: 339,720.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,722 : 253,875 = 253,875 : x
  2. Step 2: Convert to fraction form
    189,722/253,875 = 253,875/x
  3. Step 3: Cross multiply
    189,722x = 253,875 × 253,875
  4. Step 4: Simplify right side
    189,722x = 64,452,515,625
  5. Step 5: Solve for x
    x = 64,452,515,625/189,722
  6. Step 6: Final answer
    x = 339,720.83

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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.