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Finding the Third Proportional to 189,259 and 399,841

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Solution

The third proportional to 189,259 and 399,841 is: 844,730.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,259 : 399,841 = 399,841 : x
  2. Step 2: Convert to fraction form
    189,259/399,841 = 399,841/x
  3. Step 3: Cross multiply
    189,259x = 399,841 × 399,841
  4. Step 4: Simplify right side
    189,259x = 159,872,825,281
  5. Step 5: Solve for x
    x = 159,872,825,281/189,259
  6. Step 6: Final answer
    x = 844,730.37

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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.