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Finding the Third Proportional to 157,243.25 and 345,375.75

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Solution

The third proportional to 157,243.25 and 345,375.75 is: 758,597.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,243.25 : 345,375.75 = 345,375.75 : x
  2. Step 2: Convert to fraction form
    157,243.25/345,375.75 = 345,375.75/x
  3. Step 3: Cross multiply
    157,243.25x = 345,375.75 × 345,375.75
  4. Step 4: Simplify right side
    157,243.25x = 119,284,408,688.06
  5. Step 5: Solve for x
    x = 119,284,408,688.06/157,243.25
  6. Step 6: Final answer
    x = 758,597.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.