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Finding the Third Proportional to 133,329 and 281,646

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Solution

The third proportional to 133,329 and 281,646 is: 594,952.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,329 : 281,646 = 281,646 : x
  2. Step 2: Convert to fraction form
    133,329/281,646 = 281,646/x
  3. Step 3: Cross multiply
    133,329x = 281,646 × 281,646
  4. Step 4: Simplify right side
    133,329x = 79,324,469,316
  5. Step 5: Solve for x
    x = 79,324,469,316/133,329
  6. Step 6: Final answer
    x = 594,952.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.