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Finding the Third Proportional to 227,661 and 334,107

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Solution

The third proportional to 227,661 and 334,107 is: 490,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,661 : 334,107 = 334,107 : x
  2. Step 2: Convert to fraction form
    227,661/334,107 = 334,107/x
  3. Step 3: Cross multiply
    227,661x = 334,107 × 334,107
  4. Step 4: Simplify right side
    227,661x = 111,627,487,449
  5. Step 5: Solve for x
    x = 111,627,487,449/227,661
  6. Step 6: Final answer
    x = 490,323.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.