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Finding the Third Proportional to 269,100 and 365,634

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Solution

The third proportional to 269,100 and 365,634 is: 496,797.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,100 : 365,634 = 365,634 : x
  2. Step 2: Convert to fraction form
    269,100/365,634 = 365,634/x
  3. Step 3: Cross multiply
    269,100x = 365,634 × 365,634
  4. Step 4: Simplify right side
    269,100x = 133,688,221,956
  5. Step 5: Solve for x
    x = 133,688,221,956/269,100
  6. Step 6: Final answer
    x = 496,797.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.