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Finding the Third Proportional to 111,037.50 and 241,027.50

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Solution

The third proportional to 111,037.50 and 241,027.50 is: 523,194.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,037.50 : 241,027.50 = 241,027.50 : x
  2. Step 2: Convert to fraction form
    111,037.50/241,027.50 = 241,027.50/x
  3. Step 3: Cross multiply
    111,037.50x = 241,027.50 × 241,027.50
  4. Step 4: Simplify right side
    111,037.50x = 58,094,255,756.25
  5. Step 5: Solve for x
    x = 58,094,255,756.25/111,037.50
  6. Step 6: Final answer
    x = 523,194.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.