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Finding the Third Proportional to 116,938 and 248,452

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Solution

The third proportional to 116,938 and 248,452 is: 527,872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,938 : 248,452 = 248,452 : x
  2. Step 2: Convert to fraction form
    116,938/248,452 = 248,452/x
  3. Step 3: Cross multiply
    116,938x = 248,452 × 248,452
  4. Step 4: Simplify right side
    116,938x = 61,728,396,304
  5. Step 5: Solve for x
    x = 61,728,396,304/116,938
  6. Step 6: Final answer
    x = 527,872.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.