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Finding the Third Proportional to 197,940 and 402,897

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Solution

The third proportional to 197,940 and 402,897 is: 820,076.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,940 : 402,897 = 402,897 : x
  2. Step 2: Convert to fraction form
    197,940/402,897 = 402,897/x
  3. Step 3: Cross multiply
    197,940x = 402,897 × 402,897
  4. Step 4: Simplify right side
    197,940x = 162,325,992,609
  5. Step 5: Solve for x
    x = 162,325,992,609/197,940
  6. Step 6: Final answer
    x = 820,076.75

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.