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Finding the Third Proportional to 189,626 and 406,238

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Solution

The third proportional to 189,626 and 406,238 is: 870,288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,626 : 406,238 = 406,238 : x
  2. Step 2: Convert to fraction form
    189,626/406,238 = 406,238/x
  3. Step 3: Cross multiply
    189,626x = 406,238 × 406,238
  4. Step 4: Simplify right side
    189,626x = 165,029,312,644
  5. Step 5: Solve for x
    x = 165,029,312,644/189,626
  6. Step 6: Final answer
    x = 870,288.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.