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Finding the Third Proportional to 179,997.75 and 385,611.75

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Solution

The third proportional to 179,997.75 and 385,611.75 is: 826,101.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,997.75 : 385,611.75 = 385,611.75 : x
  2. Step 2: Convert to fraction form
    179,997.75/385,611.75 = 385,611.75/x
  3. Step 3: Cross multiply
    179,997.75x = 385,611.75 × 385,611.75
  4. Step 4: Simplify right side
    179,997.75x = 148,696,421,738.06
  5. Step 5: Solve for x
    x = 148,696,421,738.06/179,997.75
  6. Step 6: Final answer
    x = 826,101.56

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.