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Finding the Third Proportional to 128,996 and 273,601

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Solution

The third proportional to 128,996 and 273,601 is: 580,308.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,996 : 273,601 = 273,601 : x
  2. Step 2: Convert to fraction form
    128,996/273,601 = 273,601/x
  3. Step 3: Cross multiply
    128,996x = 273,601 × 273,601
  4. Step 4: Simplify right side
    128,996x = 74,857,507,201
  5. Step 5: Solve for x
    x = 74,857,507,201/128,996
  6. Step 6: Final answer
    x = 580,308.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.