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Finding the Third Proportional to 159,936 and 344,088

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Solution

The third proportional to 159,936 and 344,088 is: 740,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,936 : 344,088 = 344,088 : x
  2. Step 2: Convert to fraction form
    159,936/344,088 = 344,088/x
  3. Step 3: Cross multiply
    159,936x = 344,088 × 344,088
  4. Step 4: Simplify right side
    159,936x = 118,396,551,744
  5. Step 5: Solve for x
    x = 118,396,551,744/159,936
  6. Step 6: Final answer
    x = 740,274.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.