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Finding the Third Proportional to 104,359 and 225,734

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Solution

The third proportional to 104,359 and 225,734 is: 488,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,359 : 225,734 = 225,734 : x
  2. Step 2: Convert to fraction form
    104,359/225,734 = 225,734/x
  3. Step 3: Cross multiply
    104,359x = 225,734 × 225,734
  4. Step 4: Simplify right side
    104,359x = 50,955,838,756
  5. Step 5: Solve for x
    x = 50,955,838,756/104,359
  6. Step 6: Final answer
    x = 488,274.50

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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.