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Finding the Third Proportional to 106,434 and 231,768

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Solution

The third proportional to 106,434 and 231,768 is: 504,692.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,434 : 231,768 = 231,768 : x
  2. Step 2: Convert to fraction form
    106,434/231,768 = 231,768/x
  3. Step 3: Cross multiply
    106,434x = 231,768 × 231,768
  4. Step 4: Simplify right side
    106,434x = 53,716,405,824
  5. Step 5: Solve for x
    x = 53,716,405,824/106,434
  6. Step 6: Final answer
    x = 504,692.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.