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Finding the Third Proportional to 138,298 and 281,673

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Solution

The third proportional to 138,298 and 281,673 is: 573,686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,298 : 281,673 = 281,673 : x
  2. Step 2: Convert to fraction form
    138,298/281,673 = 281,673/x
  3. Step 3: Cross multiply
    138,298x = 281,673 × 281,673
  4. Step 4: Simplify right side
    138,298x = 79,339,678,929
  5. Step 5: Solve for x
    x = 79,339,678,929/138,298
  6. Step 6: Final answer
    x = 573,686.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.