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Finding the Third Proportional to 226,738 and 338,922

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Solution

The third proportional to 226,738 and 338,922 is: 506,611.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,738 : 338,922 = 338,922 : x
  2. Step 2: Convert to fraction form
    226,738/338,922 = 338,922/x
  3. Step 3: Cross multiply
    226,738x = 338,922 × 338,922
  4. Step 4: Simplify right side
    226,738x = 114,868,122,084
  5. Step 5: Solve for x
    x = 114,868,122,084/226,738
  6. Step 6: Final answer
    x = 506,611.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.