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Finding the Third Proportional to 125,649.38 and 194,306.44

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Solution

The third proportional to 125,649.38 and 194,306.44 is: 300,478.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,649.38 : 194,306.44 = 194,306.44 : x
  2. Step 2: Convert to fraction form
    125,649.38/194,306.44 = 194,306.44/x
  3. Step 3: Cross multiply
    125,649.38x = 194,306.44 × 194,306.44
  4. Step 4: Simplify right side
    125,649.38x = 37,754,991,653.94
  5. Step 5: Solve for x
    x = 37,754,991,653.94/125,649.38
  6. Step 6: Final answer
    x = 300,478.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.