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Finding the Third Proportional to 251,880 and 352,188

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Solution

The third proportional to 251,880 and 352,188 is: 492,442.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,880 : 352,188 = 352,188 : x
  2. Step 2: Convert to fraction form
    251,880/352,188 = 352,188/x
  3. Step 3: Cross multiply
    251,880x = 352,188 × 352,188
  4. Step 4: Simplify right side
    251,880x = 124,036,387,344
  5. Step 5: Solve for x
    x = 124,036,387,344/251,880
  6. Step 6: Final answer
    x = 492,442.38

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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.