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Finding the Third Proportional to 159,872 and 344,653

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Solution

The third proportional to 159,872 and 344,653 is: 743,004.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,872 : 344,653 = 344,653 : x
  2. Step 2: Convert to fraction form
    159,872/344,653 = 344,653/x
  3. Step 3: Cross multiply
    159,872x = 344,653 × 344,653
  4. Step 4: Simplify right side
    159,872x = 118,785,690,409
  5. Step 5: Solve for x
    x = 118,785,690,409/159,872
  6. Step 6: Final answer
    x = 743,004.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.