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Finding the Third Proportional to 159,913 and 344,738

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Solution

The third proportional to 159,913 and 344,738 is: 743,180.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,913 : 344,738 = 344,738 : x
  2. Step 2: Convert to fraction form
    159,913/344,738 = 344,738/x
  3. Step 3: Cross multiply
    159,913x = 344,738 × 344,738
  4. Step 4: Simplify right side
    159,913x = 118,844,288,644
  5. Step 5: Solve for x
    x = 118,844,288,644/159,913
  6. Step 6: Final answer
    x = 743,180.91

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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.