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Finding the Third Proportional to 104,918 and 226,588

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Solution

The third proportional to 104,918 and 226,588 is: 489,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,918 : 226,588 = 226,588 : x
  2. Step 2: Convert to fraction form
    104,918/226,588 = 226,588/x
  3. Step 3: Cross multiply
    104,918x = 226,588 × 226,588
  4. Step 4: Simplify right side
    104,918x = 51,342,121,744
  5. Step 5: Solve for x
    x = 51,342,121,744/104,918
  6. Step 6: Final answer
    x = 489,354.75

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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.