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Finding the Third Proportional to 207,839.25 and 304,356.38

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Solution

The third proportional to 207,839.25 and 304,356.38 is: 445,694.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,839.25 : 304,356.38 = 304,356.38 : x
  2. Step 2: Convert to fraction form
    207,839.25/304,356.38 = 304,356.38/x
  3. Step 3: Cross multiply
    207,839.25x = 304,356.38 × 304,356.38
  4. Step 4: Simplify right side
    207,839.25x = 92,632,803,003.14
  5. Step 5: Solve for x
    x = 92,632,803,003.14/207,839.25
  6. Step 6: Final answer
    x = 445,694.46

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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.