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Finding the Third Proportional to 226,022 and 309,922

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Solution

The third proportional to 226,022 and 309,922 is: 424,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,022 : 309,922 = 309,922 : x
  2. Step 2: Convert to fraction form
    226,022/309,922 = 309,922/x
  3. Step 3: Cross multiply
    226,022x = 309,922 × 309,922
  4. Step 4: Simplify right side
    226,022x = 96,051,646,084
  5. Step 5: Solve for x
    x = 96,051,646,084/226,022
  6. Step 6: Final answer
    x = 424,965.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.