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Finding the Third Proportional to 112,826.25 and 247,794.75

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Solution

The third proportional to 112,826.25 and 247,794.75 is: 544,219.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,826.25 : 247,794.75 = 247,794.75 : x
  2. Step 2: Convert to fraction form
    112,826.25/247,794.75 = 247,794.75/x
  3. Step 3: Cross multiply
    112,826.25x = 247,794.75 × 247,794.75
  4. Step 4: Simplify right side
    112,826.25x = 61,402,238,127.56
  5. Step 5: Solve for x
    x = 61,402,238,127.56/112,826.25
  6. Step 6: Final answer
    x = 544,219.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.