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Finding the Third Proportional to 133,524 and 207,945

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Solution

The third proportional to 133,524 and 207,945 is: 323,845.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,524 : 207,945 = 207,945 : x
  2. Step 2: Convert to fraction form
    133,524/207,945 = 207,945/x
  3. Step 3: Cross multiply
    133,524x = 207,945 × 207,945
  4. Step 4: Simplify right side
    133,524x = 43,241,123,025
  5. Step 5: Solve for x
    x = 43,241,123,025/133,524
  6. Step 6: Final answer
    x = 323,845.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.