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Finding the Third Proportional to 110,788 and 241,880

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Solution

The third proportional to 110,788 and 241,880 is: 528,089.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,788 : 241,880 = 241,880 : x
  2. Step 2: Convert to fraction form
    110,788/241,880 = 241,880/x
  3. Step 3: Cross multiply
    110,788x = 241,880 × 241,880
  4. Step 4: Simplify right side
    110,788x = 58,505,934,400
  5. Step 5: Solve for x
    x = 58,505,934,400/110,788
  6. Step 6: Final answer
    x = 528,089.09

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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.