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Finding the Third Proportional to 104,919 and 226,590

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Solution

The third proportional to 104,919 and 226,590 is: 489,358.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,919 : 226,590 = 226,590 : x
  2. Step 2: Convert to fraction form
    104,919/226,590 = 226,590/x
  3. Step 3: Cross multiply
    104,919x = 226,590 × 226,590
  4. Step 4: Simplify right side
    104,919x = 51,343,028,100
  5. Step 5: Solve for x
    x = 51,343,028,100/104,919
  6. Step 6: Final answer
    x = 489,358.73

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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.