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Finding the Third Proportional to 104,668 and 229,241

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Solution

The third proportional to 104,668 and 229,241 is: 502,077.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,668 : 229,241 = 229,241 : x
  2. Step 2: Convert to fraction form
    104,668/229,241 = 229,241/x
  3. Step 3: Cross multiply
    104,668x = 229,241 × 229,241
  4. Step 4: Simplify right side
    104,668x = 52,551,436,081
  5. Step 5: Solve for x
    x = 52,551,436,081/104,668
  6. Step 6: Final answer
    x = 502,077.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.