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Finding the Third Proportional to 158,609 and 344,866

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Solution

The third proportional to 158,609 and 344,866 is: 749,847.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,609 : 344,866 = 344,866 : x
  2. Step 2: Convert to fraction form
    158,609/344,866 = 344,866/x
  3. Step 3: Cross multiply
    158,609x = 344,866 × 344,866
  4. Step 4: Simplify right side
    158,609x = 118,932,557,956
  5. Step 5: Solve for x
    x = 118,932,557,956/158,609
  6. Step 6: Final answer
    x = 749,847.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.