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Finding the Third Proportional to 185,041 and 384,626

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Solution

The third proportional to 185,041 and 384,626 is: 799,483.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,041 : 384,626 = 384,626 : x
  2. Step 2: Convert to fraction form
    185,041/384,626 = 384,626/x
  3. Step 3: Cross multiply
    185,041x = 384,626 × 384,626
  4. Step 4: Simplify right side
    185,041x = 147,937,159,876
  5. Step 5: Solve for x
    x = 147,937,159,876/185,041
  6. Step 6: Final answer
    x = 799,483.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.