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Finding the Third Proportional to 133,083 and 272,375

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Solution

The third proportional to 133,083 and 272,375 is: 557,457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,083 : 272,375 = 272,375 : x
  2. Step 2: Convert to fraction form
    133,083/272,375 = 272,375/x
  3. Step 3: Cross multiply
    133,083x = 272,375 × 272,375
  4. Step 4: Simplify right side
    133,083x = 74,188,140,625
  5. Step 5: Solve for x
    x = 74,188,140,625/133,083
  6. Step 6: Final answer
    x = 557,457.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.