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Finding the Third Proportional to 122,743.69 and 264,844.69

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Solution

The third proportional to 122,743.69 and 264,844.69 is: 571,456.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,743.69 : 264,844.69 = 264,844.69 : x
  2. Step 2: Convert to fraction form
    122,743.69/264,844.69 = 264,844.69/x
  3. Step 3: Cross multiply
    122,743.69x = 264,844.69 × 264,844.69
  4. Step 4: Simplify right side
    122,743.69x = 70,142,708,496.97
  5. Step 5: Solve for x
    x = 70,142,708,496.97/122,743.69
  6. Step 6: Final answer
    x = 571,456.75

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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.