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Finding the Third Proportional to 116,474 and 273,797

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Solution

The third proportional to 116,474 and 273,797 is: 643,618.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,474 : 273,797 = 273,797 : x
  2. Step 2: Convert to fraction form
    116,474/273,797 = 273,797/x
  3. Step 3: Cross multiply
    116,474x = 273,797 × 273,797
  4. Step 4: Simplify right side
    116,474x = 74,964,797,209
  5. Step 5: Solve for x
    x = 74,964,797,209/116,474
  6. Step 6: Final answer
    x = 643,618.29

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.