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Finding the Third Proportional to 187,245 and 400,734

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Solution

The third proportional to 187,245 and 400,734 is: 857,634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,245 : 400,734 = 400,734 : x
  2. Step 2: Convert to fraction form
    187,245/400,734 = 400,734/x
  3. Step 3: Cross multiply
    187,245x = 400,734 × 400,734
  4. Step 4: Simplify right side
    187,245x = 160,587,738,756
  5. Step 5: Solve for x
    x = 160,587,738,756/187,245
  6. Step 6: Final answer
    x = 857,634.32

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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.