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Finding the Third Proportional to 110,974.50 and 242,709.75

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Solution

The third proportional to 110,974.50 and 242,709.75 is: 530,824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,974.50 : 242,709.75 = 242,709.75 : x
  2. Step 2: Convert to fraction form
    110,974.50/242,709.75 = 242,709.75/x
  3. Step 3: Cross multiply
    110,974.50x = 242,709.75 × 242,709.75
  4. Step 4: Simplify right side
    110,974.50x = 58,908,022,745.06
  5. Step 5: Solve for x
    x = 58,908,022,745.06/110,974.50
  6. Step 6: Final answer
    x = 530,824.85

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Why These Related Problems?

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