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Finding the Third Proportional to 199,848 and 296,744

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Solution

The third proportional to 199,848 and 296,744 is: 440,619.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,848 : 296,744 = 296,744 : x
  2. Step 2: Convert to fraction form
    199,848/296,744 = 296,744/x
  3. Step 3: Cross multiply
    199,848x = 296,744 × 296,744
  4. Step 4: Simplify right side
    199,848x = 88,057,001,536
  5. Step 5: Solve for x
    x = 88,057,001,536/199,848
  6. Step 6: Final answer
    x = 440,619.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.