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Finding the Third Proportional to 105,986 and 224,241

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Solution

The third proportional to 105,986 and 224,241 is: 474,440.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,986 : 224,241 = 224,241 : x
  2. Step 2: Convert to fraction form
    105,986/224,241 = 224,241/x
  3. Step 3: Cross multiply
    105,986x = 224,241 × 224,241
  4. Step 4: Simplify right side
    105,986x = 50,284,026,081
  5. Step 5: Solve for x
    x = 50,284,026,081/105,986
  6. Step 6: Final answer
    x = 474,440.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.