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Finding the Third Proportional to 133,546 and 315,249

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Solution

The third proportional to 133,546 and 315,249 is: 744,177.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,546 : 315,249 = 315,249 : x
  2. Step 2: Convert to fraction form
    133,546/315,249 = 315,249/x
  3. Step 3: Cross multiply
    133,546x = 315,249 × 315,249
  4. Step 4: Simplify right side
    133,546x = 99,381,932,001
  5. Step 5: Solve for x
    x = 99,381,932,001/133,546
  6. Step 6: Final answer
    x = 744,177.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.