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Finding the Third Proportional to 157,905.75 and 345,336.75

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Solution

The third proportional to 157,905.75 and 345,336.75 is: 755,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,905.75 : 345,336.75 = 345,336.75 : x
  2. Step 2: Convert to fraction form
    157,905.75/345,336.75 = 345,336.75/x
  3. Step 3: Cross multiply
    157,905.75x = 345,336.75 × 345,336.75
  4. Step 4: Simplify right side
    157,905.75x = 119,257,470,900.56
  5. Step 5: Solve for x
    x = 119,257,470,900.56/157,905.75
  6. Step 6: Final answer
    x = 755,244.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.