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Finding the Third Proportional to 133,909 and 281,614

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Solution

The third proportional to 133,909 and 281,614 is: 592,241.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,909 : 281,614 = 281,614 : x
  2. Step 2: Convert to fraction form
    133,909/281,614 = 281,614/x
  3. Step 3: Cross multiply
    133,909x = 281,614 × 281,614
  4. Step 4: Simplify right side
    133,909x = 79,306,444,996
  5. Step 5: Solve for x
    x = 79,306,444,996/133,909
  6. Step 6: Final answer
    x = 592,241.34

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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.