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Finding the Third Proportional to 281,067.47 and 369,018.28

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Solution

The third proportional to 281,067.47 and 369,018.28 is: 484,490.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,067.47 : 369,018.28 = 369,018.28 : x
  2. Step 2: Convert to fraction form
    281,067.47/369,018.28 = 369,018.28/x
  3. Step 3: Cross multiply
    281,067.47x = 369,018.28 × 369,018.28
  4. Step 4: Simplify right side
    281,067.47x = 136,174,491,896.70
  5. Step 5: Solve for x
    x = 136,174,491,896.70/281,067.47
  6. Step 6: Final answer
    x = 484,490.41

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.