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Finding the Third Proportional to 128,715.75 and 276,803.44

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Solution

The third proportional to 128,715.75 and 276,803.44 is: 595,266.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,715.75 : 276,803.44 = 276,803.44 : x
  2. Step 2: Convert to fraction form
    128,715.75/276,803.44 = 276,803.44/x
  3. Step 3: Cross multiply
    128,715.75x = 276,803.44 × 276,803.44
  4. Step 4: Simplify right side
    128,715.75x = 76,620,143,011.82
  5. Step 5: Solve for x
    x = 76,620,143,011.82/128,715.75
  6. Step 6: Final answer
    x = 595,266.26

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.