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Finding the Third Proportional to 133,583 and 280,999

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Solution

The third proportional to 133,583 and 280,999 is: 591,096.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,583 : 280,999 = 280,999 : x
  2. Step 2: Convert to fraction form
    133,583/280,999 = 280,999/x
  3. Step 3: Cross multiply
    133,583x = 280,999 × 280,999
  4. Step 4: Simplify right side
    133,583x = 78,960,438,001
  5. Step 5: Solve for x
    x = 78,960,438,001/133,583
  6. Step 6: Final answer
    x = 591,096.46

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