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Finding the Third Proportional to 116,802 and 251,991

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Solution

The third proportional to 116,802 and 251,991 is: 543,650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,802 : 251,991 = 251,991 : x
  2. Step 2: Convert to fraction form
    116,802/251,991 = 251,991/x
  3. Step 3: Cross multiply
    116,802x = 251,991 × 251,991
  4. Step 4: Simplify right side
    116,802x = 63,499,464,081
  5. Step 5: Solve for x
    x = 63,499,464,081/116,802
  6. Step 6: Final answer
    x = 543,650.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.