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Finding the Third Proportional to 122,669.44 and 264,680.16

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Solution

The third proportional to 122,669.44 and 264,680.16 is: 571,092.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,669.44 : 264,680.16 = 264,680.16 : x
  2. Step 2: Convert to fraction form
    122,669.44/264,680.16 = 264,680.16/x
  3. Step 3: Cross multiply
    122,669.44x = 264,680.16 × 264,680.16
  4. Step 4: Simplify right side
    122,669.44x = 70,055,585,112.52
  5. Step 5: Solve for x
    x = 70,055,585,112.52/122,669.44
  6. Step 6: Final answer
    x = 571,092.41

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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.