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Finding the Third Proportional to 128,157.75 and 197,256.75

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Solution

The third proportional to 128,157.75 and 197,256.75 is: 303,611.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,157.75 : 197,256.75 = 197,256.75 : x
  2. Step 2: Convert to fraction form
    128,157.75/197,256.75 = 197,256.75/x
  3. Step 3: Cross multiply
    128,157.75x = 197,256.75 × 197,256.75
  4. Step 4: Simplify right side
    128,157.75x = 38,910,225,420.56
  5. Step 5: Solve for x
    x = 38,910,225,420.56/128,157.75
  6. Step 6: Final answer
    x = 303,611.96

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.