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Finding the Third Proportional to 110,786.63 and 241,617.38

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Solution

The third proportional to 110,786.63 and 241,617.38 is: 526,949.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,786.63 : 241,617.38 = 241,617.38 : x
  2. Step 2: Convert to fraction form
    110,786.63/241,617.38 = 241,617.38/x
  3. Step 3: Cross multiply
    110,786.63x = 241,617.38 × 241,617.38
  4. Step 4: Simplify right side
    110,786.63x = 58,378,955,901.89
  5. Step 5: Solve for x
    x = 58,378,955,901.89/110,786.63
  6. Step 6: Final answer
    x = 526,949.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.