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Finding the Third Proportional to 189,257 and 399,839

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Solution

The third proportional to 189,257 and 399,839 is: 844,730.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,257 : 399,839 = 399,839 : x
  2. Step 2: Convert to fraction form
    189,257/399,839 = 399,839/x
  3. Step 3: Cross multiply
    189,257x = 399,839 × 399,839
  4. Step 4: Simplify right side
    189,257x = 159,871,225,921
  5. Step 5: Solve for x
    x = 159,871,225,921/189,257
  6. Step 6: Final answer
    x = 844,730.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.