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Finding the Third Proportional to 251,886 and 352,197

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Solution

The third proportional to 251,886 and 352,197 is: 492,455.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,886 : 352,197 = 352,197 : x
  2. Step 2: Convert to fraction form
    251,886/352,197 = 352,197/x
  3. Step 3: Cross multiply
    251,886x = 352,197 × 352,197
  4. Step 4: Simplify right side
    251,886x = 124,042,726,809
  5. Step 5: Solve for x
    x = 124,042,726,809/251,886
  6. Step 6: Final answer
    x = 492,455.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.