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Finding the Third Proportional to 122,593.75 and 264,540.25

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Solution

The third proportional to 122,593.75 and 264,540.25 is: 570,841.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,593.75 : 264,540.25 = 264,540.25 : x
  2. Step 2: Convert to fraction form
    122,593.75/264,540.25 = 264,540.25/x
  3. Step 3: Cross multiply
    122,593.75x = 264,540.25 × 264,540.25
  4. Step 4: Simplify right side
    122,593.75x = 69,981,543,870.06
  5. Step 5: Solve for x
    x = 69,981,543,870.06/122,593.75
  6. Step 6: Final answer
    x = 570,841.04

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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.