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Finding the Third Proportional to 197,937 and 431,394

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Solution

The third proportional to 197,937 and 431,394 is: 940,202.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,937 : 431,394 = 431,394 : x
  2. Step 2: Convert to fraction form
    197,937/431,394 = 431,394/x
  3. Step 3: Cross multiply
    197,937x = 431,394 × 431,394
  4. Step 4: Simplify right side
    197,937x = 186,100,783,236
  5. Step 5: Solve for x
    x = 186,100,783,236/197,937
  6. Step 6: Final answer
    x = 940,202.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.