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Finding the Third Proportional to 112,754.25 and 262,182.38

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Solution

The third proportional to 112,754.25 and 262,182.38 is: 609,640.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,754.25 : 262,182.38 = 262,182.38 : x
  2. Step 2: Convert to fraction form
    112,754.25/262,182.38 = 262,182.38/x
  3. Step 3: Cross multiply
    112,754.25x = 262,182.38 × 262,182.38
  4. Step 4: Simplify right side
    112,754.25x = 68,739,597,760.64
  5. Step 5: Solve for x
    x = 68,739,597,760.64/112,754.25
  6. Step 6: Final answer
    x = 609,640.86

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.