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Finding the Third Proportional to 118,242 and 253,980

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Solution

The third proportional to 118,242 and 253,980 is: 545,540.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,242 : 253,980 = 253,980 : x
  2. Step 2: Convert to fraction form
    118,242/253,980 = 253,980/x
  3. Step 3: Cross multiply
    118,242x = 253,980 × 253,980
  4. Step 4: Simplify right side
    118,242x = 64,505,840,400
  5. Step 5: Solve for x
    x = 64,505,840,400/118,242
  6. Step 6: Final answer
    x = 545,540.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.