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Finding the Third Proportional to 251,387 and 351,642

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Solution

The third proportional to 251,387 and 351,642 is: 491,879.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,387 : 351,642 = 351,642 : x
  2. Step 2: Convert to fraction form
    251,387/351,642 = 351,642/x
  3. Step 3: Cross multiply
    251,387x = 351,642 × 351,642
  4. Step 4: Simplify right side
    251,387x = 123,652,096,164
  5. Step 5: Solve for x
    x = 123,652,096,164/251,387
  6. Step 6: Final answer
    x = 491,879.44

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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.