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Finding the Third Proportional to 248,437 and 351,199

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Solution

The third proportional to 248,437 and 351,199 is: 496,466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,437 : 351,199 = 351,199 : x
  2. Step 2: Convert to fraction form
    248,437/351,199 = 351,199/x
  3. Step 3: Cross multiply
    248,437x = 351,199 × 351,199
  4. Step 4: Simplify right side
    248,437x = 123,340,737,601
  5. Step 5: Solve for x
    x = 123,340,737,601/248,437
  6. Step 6: Final answer
    x = 496,466.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.