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Finding the Third Proportional to 197,793 and 314,469

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Solution

The third proportional to 197,793 and 314,469 is: 499,970.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,793 : 314,469 = 314,469 : x
  2. Step 2: Convert to fraction form
    197,793/314,469 = 314,469/x
  3. Step 3: Cross multiply
    197,793x = 314,469 × 314,469
  4. Step 4: Simplify right side
    197,793x = 98,890,751,961
  5. Step 5: Solve for x
    x = 98,890,751,961/197,793
  6. Step 6: Final answer
    x = 499,970.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.