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Finding the Third Proportional to 137,846 and 281,532

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Solution

The third proportional to 137,846 and 281,532 is: 574,991.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,846 : 281,532 = 281,532 : x
  2. Step 2: Convert to fraction form
    137,846/281,532 = 281,532/x
  3. Step 3: Cross multiply
    137,846x = 281,532 × 281,532
  4. Step 4: Simplify right side
    137,846x = 79,260,267,024
  5. Step 5: Solve for x
    x = 79,260,267,024/137,846
  6. Step 6: Final answer
    x = 574,991.42

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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.