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Finding the Third Proportional to 204,037 and 306,057

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Solution

The third proportional to 204,037 and 306,057 is: 459,087.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,037 : 306,057 = 306,057 : x
  2. Step 2: Convert to fraction form
    204,037/306,057 = 306,057/x
  3. Step 3: Cross multiply
    204,037x = 306,057 × 306,057
  4. Step 4: Simplify right side
    204,037x = 93,670,887,249
  5. Step 5: Solve for x
    x = 93,670,887,249/204,037
  6. Step 6: Final answer
    x = 459,087.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.