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Finding the Third Proportional to 132,945 and 289,218

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Solution

The third proportional to 132,945 and 289,218 is: 629,185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,945 : 289,218 = 289,218 : x
  2. Step 2: Convert to fraction form
    132,945/289,218 = 289,218/x
  3. Step 3: Cross multiply
    132,945x = 289,218 × 289,218
  4. Step 4: Simplify right side
    132,945x = 83,647,051,524
  5. Step 5: Solve for x
    x = 83,647,051,524/132,945
  6. Step 6: Final answer
    x = 629,185.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.