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Finding the Third Proportional to 159,839 and 344,608

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Solution

The third proportional to 159,839 and 344,608 is: 742,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,839 : 344,608 = 344,608 : x
  2. Step 2: Convert to fraction form
    159,839/344,608 = 344,608/x
  3. Step 3: Cross multiply
    159,839x = 344,608 × 344,608
  4. Step 4: Simplify right side
    159,839x = 118,754,673,664
  5. Step 5: Solve for x
    x = 118,754,673,664/159,839
  6. Step 6: Final answer
    x = 742,964.32

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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.