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Finding the Third Proportional to 169,400 and 247,741

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Solution

The third proportional to 169,400 and 247,741 is: 362,311.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,400 : 247,741 = 247,741 : x
  2. Step 2: Convert to fraction form
    169,400/247,741 = 247,741/x
  3. Step 3: Cross multiply
    169,400x = 247,741 × 247,741
  4. Step 4: Simplify right side
    169,400x = 61,375,603,081
  5. Step 5: Solve for x
    x = 61,375,603,081/169,400
  6. Step 6: Final answer
    x = 362,311.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.