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Finding the Third Proportional to 118,016 and 254,824

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Solution

The third proportional to 118,016 and 254,824 is: 550,224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,016 : 254,824 = 254,824 : x
  2. Step 2: Convert to fraction form
    118,016/254,824 = 254,824/x
  3. Step 3: Cross multiply
    118,016x = 254,824 × 254,824
  4. Step 4: Simplify right side
    118,016x = 64,935,270,976
  5. Step 5: Solve for x
    x = 64,935,270,976/118,016
  6. Step 6: Final answer
    x = 550,224.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.