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Finding the Third Proportional to 157,996.75 and 223,560.75

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Solution

The third proportional to 157,996.75 and 223,560.75 is: 316,331.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,996.75 : 223,560.75 = 223,560.75 : x
  2. Step 2: Convert to fraction form
    157,996.75/223,560.75 = 223,560.75/x
  3. Step 3: Cross multiply
    157,996.75x = 223,560.75 × 223,560.75
  4. Step 4: Simplify right side
    157,996.75x = 49,979,408,940.56
  5. Step 5: Solve for x
    x = 49,979,408,940.56/157,996.75
  6. Step 6: Final answer
    x = 316,331.88

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.