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Finding the Third Proportional to 112,212.25 and 245,882.75

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Solution

The third proportional to 112,212.25 and 245,882.75 is: 538,785.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,212.25 : 245,882.75 = 245,882.75 : x
  2. Step 2: Convert to fraction form
    112,212.25/245,882.75 = 245,882.75/x
  3. Step 3: Cross multiply
    112,212.25x = 245,882.75 × 245,882.75
  4. Step 4: Simplify right side
    112,212.25x = 60,458,326,747.56
  5. Step 5: Solve for x
    x = 60,458,326,747.56/112,212.25
  6. Step 6: Final answer
    x = 538,785.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.