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Finding the Third Proportional to 269,184 and 365,732

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Solution

The third proportional to 269,184 and 365,732 is: 496,908.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,184 : 365,732 = 365,732 : x
  2. Step 2: Convert to fraction form
    269,184/365,732 = 365,732/x
  3. Step 3: Cross multiply
    269,184x = 365,732 × 365,732
  4. Step 4: Simplify right side
    269,184x = 133,759,895,824
  5. Step 5: Solve for x
    x = 133,759,895,824/269,184
  6. Step 6: Final answer
    x = 496,908.79

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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.