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Finding the Third Proportional to 185,041 and 246,000

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Solution

The third proportional to 185,041 and 246,000 is: 327,041.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,041 : 246,000 = 246,000 : x
  2. Step 2: Convert to fraction form
    185,041/246,000 = 246,000/x
  3. Step 3: Cross multiply
    185,041x = 246,000 × 246,000
  4. Step 4: Simplify right side
    185,041x = 60,516,000,000
  5. Step 5: Solve for x
    x = 60,516,000,000/185,041
  6. Step 6: Final answer
    x = 327,041.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.