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Finding the Third Proportional to 170,653.50 and 226,449

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Solution

The third proportional to 170,653.50 and 226,449 is: 300,486.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,653.50 : 226,449 = 226,449 : x
  2. Step 2: Convert to fraction form
    170,653.50/226,449 = 226,449/x
  3. Step 3: Cross multiply
    170,653.50x = 226,449 × 226,449
  4. Step 4: Simplify right side
    170,653.50x = 51,279,149,601
  5. Step 5: Solve for x
    x = 51,279,149,601/170,653.50
  6. Step 6: Final answer
    x = 300,486.95

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.