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Finding the Third Proportional to 122,480.54 and 263,125.57

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Solution

The third proportional to 122,480.54 and 263,125.57 is: 565,274.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,480.54 : 263,125.57 = 263,125.57 : x
  2. Step 2: Convert to fraction form
    122,480.54/263,125.57 = 263,125.57/x
  3. Step 3: Cross multiply
    122,480.54x = 263,125.57 × 263,125.57
  4. Step 4: Simplify right side
    122,480.54x = 69,235,067,294.04
  5. Step 5: Solve for x
    x = 69,235,067,294.04/122,480.54
  6. Step 6: Final answer
    x = 565,274.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.