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Finding the Third Proportional to 133,976 and 281,740

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Solution

The third proportional to 133,976 and 281,740 is: 592,474.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,976 : 281,740 = 281,740 : x
  2. Step 2: Convert to fraction form
    133,976/281,740 = 281,740/x
  3. Step 3: Cross multiply
    133,976x = 281,740 × 281,740
  4. Step 4: Simplify right side
    133,976x = 79,377,427,600
  5. Step 5: Solve for x
    x = 79,377,427,600/133,976
  6. Step 6: Final answer
    x = 592,474.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.