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Finding the Third Proportional to 157,509.56 and 339,906.38

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Solution

The third proportional to 157,509.56 and 339,906.38 is: 733,519.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,509.56 : 339,906.38 = 339,906.38 : x
  2. Step 2: Convert to fraction form
    157,509.56/339,906.38 = 339,906.38/x
  3. Step 3: Cross multiply
    157,509.56x = 339,906.38 × 339,906.38
  4. Step 4: Simplify right side
    157,509.56x = 115,536,343,765.64
  5. Step 5: Solve for x
    x = 115,536,343,765.64/157,509.56
  6. Step 6: Final answer
    x = 733,519.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.