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Finding the Third Proportional to 106,241 and 229,906

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Solution

The third proportional to 106,241 and 229,906 is: 497,517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,241 : 229,906 = 229,906 : x
  2. Step 2: Convert to fraction form
    106,241/229,906 = 229,906/x
  3. Step 3: Cross multiply
    106,241x = 229,906 × 229,906
  4. Step 4: Simplify right side
    106,241x = 52,856,768,836
  5. Step 5: Solve for x
    x = 52,856,768,836/106,241
  6. Step 6: Final answer
    x = 497,517.61

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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.