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Finding the Third Proportional to 155,755 and 244,012

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Solution

The third proportional to 155,755 and 244,012 is: 382,278.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,755 : 244,012 = 244,012 : x
  2. Step 2: Convert to fraction form
    155,755/244,012 = 244,012/x
  3. Step 3: Cross multiply
    155,755x = 244,012 × 244,012
  4. Step 4: Simplify right side
    155,755x = 59,541,856,144
  5. Step 5: Solve for x
    x = 59,541,856,144/155,755
  6. Step 6: Final answer
    x = 382,278.94

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.