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Finding the Third Proportional to 189,290 and 404,845

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Solution

The third proportional to 189,290 and 404,845 is: 865,864.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,290 : 404,845 = 404,845 : x
  2. Step 2: Convert to fraction form
    189,290/404,845 = 404,845/x
  3. Step 3: Cross multiply
    189,290x = 404,845 × 404,845
  4. Step 4: Simplify right side
    189,290x = 163,899,474,025
  5. Step 5: Solve for x
    x = 163,899,474,025/189,290
  6. Step 6: Final answer
    x = 865,864.41

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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.