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Finding the Third Proportional to 103,746 and 226,338

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Solution

The third proportional to 103,746 and 226,338 is: 493,791.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,746 : 226,338 = 226,338 : x
  2. Step 2: Convert to fraction form
    103,746/226,338 = 226,338/x
  3. Step 3: Cross multiply
    103,746x = 226,338 × 226,338
  4. Step 4: Simplify right side
    103,746x = 51,228,890,244
  5. Step 5: Solve for x
    x = 51,228,890,244/103,746
  6. Step 6: Final answer
    x = 493,791.47

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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.