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Finding the Third Proportional to 194,123.25 and 415,233.75

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Solution

The third proportional to 194,123.25 and 415,233.75 is: 888,193.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,123.25 : 415,233.75 = 415,233.75 : x
  2. Step 2: Convert to fraction form
    194,123.25/415,233.75 = 415,233.75/x
  3. Step 3: Cross multiply
    194,123.25x = 415,233.75 × 415,233.75
  4. Step 4: Simplify right side
    194,123.25x = 172,419,067,139.06
  5. Step 5: Solve for x
    x = 172,419,067,139.06/194,123.25
  6. Step 6: Final answer
    x = 888,193.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.