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Finding the Third Proportional to 106,644 and 246,883

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Solution

The third proportional to 106,644 and 246,883 is: 571,539.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,644 : 246,883 = 246,883 : x
  2. Step 2: Convert to fraction form
    106,644/246,883 = 246,883/x
  3. Step 3: Cross multiply
    106,644x = 246,883 × 246,883
  4. Step 4: Simplify right side
    106,644x = 60,951,215,689
  5. Step 5: Solve for x
    x = 60,951,215,689/106,644
  6. Step 6: Final answer
    x = 571,539.10

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.