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Finding the Third Proportional to 194,158 and 290,949

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Solution

The third proportional to 194,158 and 290,949 is: 435,991.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,158 : 290,949 = 290,949 : x
  2. Step 2: Convert to fraction form
    194,158/290,949 = 290,949/x
  3. Step 3: Cross multiply
    194,158x = 290,949 × 290,949
  4. Step 4: Simplify right side
    194,158x = 84,651,320,601
  5. Step 5: Solve for x
    x = 84,651,320,601/194,158
  6. Step 6: Final answer
    x = 435,991.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.