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Finding the Third Proportional to 132,279 and 289,398

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Solution

The third proportional to 132,279 and 289,398 is: 633,140.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,279 : 289,398 = 289,398 : x
  2. Step 2: Convert to fraction form
    132,279/289,398 = 289,398/x
  3. Step 3: Cross multiply
    132,279x = 289,398 × 289,398
  4. Step 4: Simplify right side
    132,279x = 83,751,202,404
  5. Step 5: Solve for x
    x = 83,751,202,404/132,279
  6. Step 6: Final answer
    x = 633,140.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.