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Finding the Third Proportional to 251,928 and 352,212

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Solution

The third proportional to 251,928 and 352,212 is: 492,415.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,928 : 352,212 = 352,212 : x
  2. Step 2: Convert to fraction form
    251,928/352,212 = 352,212/x
  3. Step 3: Cross multiply
    251,928x = 352,212 × 352,212
  4. Step 4: Simplify right side
    251,928x = 124,053,292,944
  5. Step 5: Solve for x
    x = 124,053,292,944/251,928
  6. Step 6: Final answer
    x = 492,415.66

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