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Finding the Third Proportional to 207,986 and 304,179

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Solution

The third proportional to 207,986 and 304,179 is: 444,861.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,986 : 304,179 = 304,179 : x
  2. Step 2: Convert to fraction form
    207,986/304,179 = 304,179/x
  3. Step 3: Cross multiply
    207,986x = 304,179 × 304,179
  4. Step 4: Simplify right side
    207,986x = 92,524,864,041
  5. Step 5: Solve for x
    x = 92,524,864,041/207,986
  6. Step 6: Final answer
    x = 444,861.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.