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Finding the Third Proportional to 104,954 and 226,490

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Solution

The third proportional to 104,954 and 226,490 is: 488,763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,954 : 226,490 = 226,490 : x
  2. Step 2: Convert to fraction form
    104,954/226,490 = 226,490/x
  3. Step 3: Cross multiply
    104,954x = 226,490 × 226,490
  4. Step 4: Simplify right side
    104,954x = 51,297,720,100
  5. Step 5: Solve for x
    x = 51,297,720,100/104,954
  6. Step 6: Final answer
    x = 488,763.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.