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Finding the Third Proportional to 104,923 and 226,597

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Solution

The third proportional to 104,923 and 226,597 is: 489,370.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,923 : 226,597 = 226,597 : x
  2. Step 2: Convert to fraction form
    104,923/226,597 = 226,597/x
  3. Step 3: Cross multiply
    104,923x = 226,597 × 226,597
  4. Step 4: Simplify right side
    104,923x = 51,346,200,409
  5. Step 5: Solve for x
    x = 51,346,200,409/104,923
  6. Step 6: Final answer
    x = 489,370.30

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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.