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Finding the Third Proportional to 111,224.63 and 239,945.63

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Solution

The third proportional to 111,224.63 and 239,945.63 is: 517,636.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,224.63 : 239,945.63 = 239,945.63 : x
  2. Step 2: Convert to fraction form
    111,224.63/239,945.63 = 239,945.63/x
  3. Step 3: Cross multiply
    111,224.63x = 239,945.63 × 239,945.63
  4. Step 4: Simplify right side
    111,224.63x = 57,573,902,956.64
  5. Step 5: Solve for x
    x = 57,573,902,956.64/111,224.63
  6. Step 6: Final answer
    x = 517,636.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.