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Finding the Third Proportional to 189,342 and 408,208

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Solution

The third proportional to 189,342 and 408,208 is: 880,067.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,342 : 408,208 = 408,208 : x
  2. Step 2: Convert to fraction form
    189,342/408,208 = 408,208/x
  3. Step 3: Cross multiply
    189,342x = 408,208 × 408,208
  4. Step 4: Simplify right side
    189,342x = 166,633,771,264
  5. Step 5: Solve for x
    x = 166,633,771,264/189,342
  6. Step 6: Final answer
    x = 880,067.66

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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.