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Finding the Third Proportional to 251,856 and 352,104

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Solution

The third proportional to 251,856 and 352,104 is: 492,254.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,856 : 352,104 = 352,104 : x
  2. Step 2: Convert to fraction form
    251,856/352,104 = 352,104/x
  3. Step 3: Cross multiply
    251,856x = 352,104 × 352,104
  4. Step 4: Simplify right side
    251,856x = 123,977,226,816
  5. Step 5: Solve for x
    x = 123,977,226,816/251,856
  6. Step 6: Final answer
    x = 492,254.41

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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.