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Finding the Third Proportional to 269,086 and 365,604

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Solution

The third proportional to 269,086 and 365,604 is: 496,741.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,086 : 365,604 = 365,604 : x
  2. Step 2: Convert to fraction form
    269,086/365,604 = 365,604/x
  3. Step 3: Cross multiply
    269,086x = 365,604 × 365,604
  4. Step 4: Simplify right side
    269,086x = 133,666,284,816
  5. Step 5: Solve for x
    x = 133,666,284,816/269,086
  6. Step 6: Final answer
    x = 496,741.88

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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.