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Finding the Third Proportional to 110,153 and 241,296

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Solution

The third proportional to 110,153 and 241,296 is: 528,571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,153 : 241,296 = 241,296 : x
  2. Step 2: Convert to fraction form
    110,153/241,296 = 241,296/x
  3. Step 3: Cross multiply
    110,153x = 241,296 × 241,296
  4. Step 4: Simplify right side
    110,153x = 58,223,759,616
  5. Step 5: Solve for x
    x = 58,223,759,616/110,153
  6. Step 6: Final answer
    x = 528,571.71

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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.