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Finding the Third Proportional to 251,912 and 352,232

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Solution

The third proportional to 251,912 and 352,232 is: 492,502.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,912 : 352,232 = 352,232 : x
  2. Step 2: Convert to fraction form
    251,912/352,232 = 352,232/x
  3. Step 3: Cross multiply
    251,912x = 352,232 × 352,232
  4. Step 4: Simplify right side
    251,912x = 124,067,381,824
  5. Step 5: Solve for x
    x = 124,067,381,824/251,912
  6. Step 6: Final answer
    x = 492,502.87

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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.