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Finding the Third Proportional to 110,550 and 241,836

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Solution

The third proportional to 110,550 and 241,836 is: 529,033.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,550 : 241,836 = 241,836 : x
  2. Step 2: Convert to fraction form
    110,550/241,836 = 241,836/x
  3. Step 3: Cross multiply
    110,550x = 241,836 × 241,836
  4. Step 4: Simplify right side
    110,550x = 58,484,650,896
  5. Step 5: Solve for x
    x = 58,484,650,896/110,550
  6. Step 6: Final answer
    x = 529,033.48

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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.