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Finding the Third Proportional to 193,026.38 and 290,958.75

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Solution

The third proportional to 193,026.38 and 290,958.75 is: 438,577.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,026.38 : 290,958.75 = 290,958.75 : x
  2. Step 2: Convert to fraction form
    193,026.38/290,958.75 = 290,958.75/x
  3. Step 3: Cross multiply
    193,026.38x = 290,958.75 × 290,958.75
  4. Step 4: Simplify right side
    193,026.38x = 84,656,994,201.56
  5. Step 5: Solve for x
    x = 84,656,994,201.56/193,026.38
  6. Step 6: Final answer
    x = 438,577.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.