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Finding the Third Proportional to 122,544 and 265,824

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Solution

The third proportional to 122,544 and 265,824 is: 576,628.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,544 : 265,824 = 265,824 : x
  2. Step 2: Convert to fraction form
    122,544/265,824 = 265,824/x
  3. Step 3: Cross multiply
    122,544x = 265,824 × 265,824
  4. Step 4: Simplify right side
    122,544x = 70,662,398,976
  5. Step 5: Solve for x
    x = 70,662,398,976/122,544
  6. Step 6: Final answer
    x = 576,628.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.