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Finding the Third Proportional to 137,804 and 281,452

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Solution

The third proportional to 137,804 and 281,452 is: 574,839.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,804 : 281,452 = 281,452 : x
  2. Step 2: Convert to fraction form
    137,804/281,452 = 281,452/x
  3. Step 3: Cross multiply
    137,804x = 281,452 × 281,452
  4. Step 4: Simplify right side
    137,804x = 79,215,228,304
  5. Step 5: Solve for x
    x = 79,215,228,304/137,804
  6. Step 6: Final answer
    x = 574,839.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.