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Finding the Third Proportional to 197,934 and 305,793

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Solution

The third proportional to 197,934 and 305,793 is: 472,426.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,934 : 305,793 = 305,793 : x
  2. Step 2: Convert to fraction form
    197,934/305,793 = 305,793/x
  3. Step 3: Cross multiply
    197,934x = 305,793 × 305,793
  4. Step 4: Simplify right side
    197,934x = 93,509,358,849
  5. Step 5: Solve for x
    x = 93,509,358,849/197,934
  6. Step 6: Final answer
    x = 472,426.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.