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Finding the Third Proportional to 128,157.75 and 280,995.75

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Solution

The third proportional to 128,157.75 and 280,995.75 is: 616,104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,157.75 : 280,995.75 = 280,995.75 : x
  2. Step 2: Convert to fraction form
    128,157.75/280,995.75 = 280,995.75/x
  3. Step 3: Cross multiply
    128,157.75x = 280,995.75 × 280,995.75
  4. Step 4: Simplify right side
    128,157.75x = 78,958,611,518.06
  5. Step 5: Solve for x
    x = 78,958,611,518.06/128,157.75
  6. Step 6: Final answer
    x = 616,104.85

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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.