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Finding the Third Proportional to 121,296 and 262,320

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Solution

The third proportional to 121,296 and 262,320 is: 567,304.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,296 : 262,320 = 262,320 : x
  2. Step 2: Convert to fraction form
    121,296/262,320 = 262,320/x
  3. Step 3: Cross multiply
    121,296x = 262,320 × 262,320
  4. Step 4: Simplify right side
    121,296x = 68,811,782,400
  5. Step 5: Solve for x
    x = 68,811,782,400/121,296
  6. Step 6: Final answer
    x = 567,304.63

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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.