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Finding the Third Proportional to 117,992 and 256,720

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Solution

The third proportional to 117,992 and 256,720 is: 558,556.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,992 : 256,720 = 256,720 : x
  2. Step 2: Convert to fraction form
    117,992/256,720 = 256,720/x
  3. Step 3: Cross multiply
    117,992x = 256,720 × 256,720
  4. Step 4: Simplify right side
    117,992x = 65,905,158,400
  5. Step 5: Solve for x
    x = 65,905,158,400/117,992
  6. Step 6: Final answer
    x = 558,556.16

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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.