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Finding the Third Proportional to 189,341 and 408,206

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Solution

The third proportional to 189,341 and 408,206 is: 880,063.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,341 : 408,206 = 408,206 : x
  2. Step 2: Convert to fraction form
    189,341/408,206 = 408,206/x
  3. Step 3: Cross multiply
    189,341x = 408,206 × 408,206
  4. Step 4: Simplify right side
    189,341x = 166,632,138,436
  5. Step 5: Solve for x
    x = 166,632,138,436/189,341
  6. Step 6: Final answer
    x = 880,063.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.