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Finding the Third Proportional to 269,115 and 365,643

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Solution

The third proportional to 269,115 and 365,643 is: 496,794.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,115 : 365,643 = 365,643 : x
  2. Step 2: Convert to fraction form
    269,115/365,643 = 365,643/x
  3. Step 3: Cross multiply
    269,115x = 365,643 × 365,643
  4. Step 4: Simplify right side
    269,115x = 133,694,803,449
  5. Step 5: Solve for x
    x = 133,694,803,449/269,115
  6. Step 6: Final answer
    x = 496,794.32

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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.