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Finding the Third Proportional to 116,651 and 255,901

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Solution

The third proportional to 116,651 and 255,901 is: 561,378.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,651 : 255,901 = 255,901 : x
  2. Step 2: Convert to fraction form
    116,651/255,901 = 255,901/x
  3. Step 3: Cross multiply
    116,651x = 255,901 × 255,901
  4. Step 4: Simplify right side
    116,651x = 65,485,321,801
  5. Step 5: Solve for x
    x = 65,485,321,801/116,651
  6. Step 6: Final answer
    x = 561,378.14

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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.