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Finding the Third Proportional to 194,735 and 404,949

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Solution

The third proportional to 194,735 and 404,949 is: 842,086.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,735 : 404,949 = 404,949 : x
  2. Step 2: Convert to fraction form
    194,735/404,949 = 404,949/x
  3. Step 3: Cross multiply
    194,735x = 404,949 × 404,949
  4. Step 4: Simplify right side
    194,735x = 163,983,692,601
  5. Step 5: Solve for x
    x = 163,983,692,601/194,735
  6. Step 6: Final answer
    x = 842,086.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.